The true story of how a notorious Jewish counterfeiter saved his life by cooperating with the Nazis in the largest counterfeiting scheme in history.

I dunno...

Being put in a concentration camp is a VERY BIG event in one's life, especially for a Jew during the Third Reich.

I and millions of other people would find the act of being thrown into a concentration camp mighty hooky. If you don't specify this, you undermine its importance when compared to the other story elements - not only are you coming across as callous with respect to the subject matter at hand but also you're neglecting to specify the immense obstacle the MC faces - why do that? Obstacles and stakes make a story interesting, even if they're obvious parts of a story you'd do best to mention them in the logline.

Not many Jews made it out alive, a true story about a Jew who did, regardless the method, is interesting. Needless to say, this guy's particular story has its own twist on Holocaust survival and as a result an amplified interest in the story. That's why the logline would read better if you mentioned what he did, why and under what specific circumstance.

Mu suggestion:
After being thrown into a concentration camp, a notorious Jewish counterfeiter saved his life by cooperating with the Nazis in the largest counterfeiting scheme in history.