A Sam Jones goal was followed by Orient's Josh Kennedy putting into his own net, before the game was sealed through a terrific third goal from Scott Vernon after a beautiful over the top ball from skipper Craig Disley.
Speaking after the game, the Town boss said: ''It's a landmark obviously to reach 50 points so a big well done to everyone connected to the football club.
''It took a long time to get back into the Football League but they say 50 is the magic number and while that's probably not quite right mathematically, yeah, it looks like we're staying up.
Bignot said that the first hurdle was getting through the opening period of the game after Town had let in goals in the opening stages in three of their four previous trips away from home, and was pleased to be leading at the break despite the team not performing as well as they could have in the first 45 minutes.
He said: ''We said after five minutes that there would be a round of applause and a cheer because we've got past the five minute mark without conceding so that was the first goal we passed before passing another one by going in with the lead at half time, although we didn't move the ball the way we wanted to.
''I thought Orient moved the ball better than us first half and we allowed them to get into too many goalscoring opportunities, although they never got any clear cxut chances from that if memory serves me right.
''So we didnt concede in the first five and we came in ahead at half time but it was a happy dressing room but one that wanted to do better second half.
''We pressed higher second half and moved the ball the way we wanted to and obviously you get a positive result in the end.''
Town made three changes to the team that lost at home to Wycombe Wanderers last weekend, with Brandon Comley, Craig Disley and Dominic Vose coming into the midfield in place of the injured Gavin Gunning, the ill Chris Clements and Jamey Osbourne with an eye on Tuesday night's trip to Portsmouth.
Bignot saw signs that his team selection on Tuesday will be justified on the day, particularly with the performances of substitutes Osbourne and Akwasi Asante, who both came on in the second half.
He said: ''You have a skeleton of a team in terms of where you wanna go bu I thought the way certain players today today justified what we're gonna on Tuesday.
''With subs you want them to have an impact and certainly we felt we needed to get control of the game and get some footballers out on the pitch.
''Oviously Jamey brings that little bit of difference and then with Akwasi, I give credit to the staff because they wanted that substitution and just felt we could get down the sides of them a little bit more.
''With the second goal he did that and we told him when were in the lead not to go forward and run it into the corner, so what does he do? He gives it the ginger Pirlo (Craig Disley) and it was Van Basten-esque goal so well done and don't listen to the gaffer.''
Bignot also praised the terrific travelling support, with over a thousand Mariners fans making the trip to the capital once again.
''Obviously I'm always aware of ticket allocation and asking the girls in the office how many we're expecting because you love that away following,'' said the Town boss.
''It gives you a buzz and a confidence boost so to hear today it was over a thousand, they're gonna have a good time in London tonight.
''At the end of the day, it's all about making the supporters happy and they'll gonna enjoy their time in the big smoke because they're great.''
Bignot now looks towards Tuesday night's long trip to Fratton Park and believes there is still plenty to play for after the victory.
He said: ''Listen, we've not taken our eye off where we want to go.
We're 4 points off it there's 10 games left so 30 points, which is a lot of points.
''So we'll remain focused but today for me sums up a great season for everyone.
''We've maintained our status in the league, you saw the support today and I think all around as a football club, you should give a massive pat on the back to yourselves.''