I have been trying to understand the ROCK attack described here as the "First Attack" and I cannot follow the explaination.

I have been trying to generate a 512-bits key and crack it. As far as I can understand, p and q are 65537^a mod L where a is random and L = 2357..P. If at one point, I find out what p or q is, than I can find the other one easily and then compute the private key.

Is this correct? I am sorry if I do not make any sense and any hint to the right solution is greatly appreciated.