  The conformal module of conjugacy classes of braids implicitly appeared in a
paper of Lin and Gorin in connection with their interest in the 13. Hilbert
Problem. This invariant is the supremum of conformal modules (in the sense of
Ahlfors) of certain annuli related to the conjugacy class. This note states
that the conformal module is inverse proportional to a popular dynamical braid
invariant, the entropy. The entropy appeared in connection with Thurston's
theory of surface homeomorphisms. An application of the concept of conformal
module to algebraic geometry is given.
