  We compute 1-loop correction E_1 to the energy of folded string in AdS_5 x
S^5 (carrying spin S in AdS_5 and momentum J in S^5) using ``long string''
approximation in which S >> J >> 1. According to AdS/CFT E_1 should represent
the first subleading correction to strong coupling expansion of anomalous
dimension of higher twist SL(2) sector operators of the form Tr D^S Z^J. We
show that E_1 smoothly interpolates between the ln S regime (previously found
in the J=0 case) and the \lambda/J^2 ln^3 (S/J) regime (which is the leading
correction to the thermodynamic limit on the spin chain side). This supports
the universality of the ln S scaling. As in previous work, we also find
``non-analytic'' corrections related to non-trivial 1-loop phase in the
corresponding Bethe ansatz S-matrix.
