We know integer factorization is in $BPP^{BQNC}$ from Cleve and Watrous.
Is Abelian Hidden Subgroup Problem also in $BPP^{BQNC}$?
In particular is Discrete Logarithm in $BQNC$ or at least in $BPP^{BQNC}$ and is there any reference which explicitly relates Discrete Logarithm and $BQNC$?
If not what is it that makes integer factorization special?