[pbsd]

The NFS complexity for factorization and discrete logarithm is asymptotically the same. In practice, the matrix step is more costly in discrete logarithm, but this should increase the bit security by at most a handful of bits, which is not enough to justify differentiating DL estimates from RSA estimates.

This refers to the size of p, the prime modulus. Sizes of exponents and/or subgroups are not affected by the complexity of the NFS, so they generally only need to be twice the target bit security to avoid birthday-type attacks.

[tptacek]

So it's the size of p that matters most in practice, assuming other parameters are sane.