generators are right twists, which is not followed by the Wikipedia page on braids.)

The crossing number of a (p,q) torus knot with p,q > 0 is given by
:c = min((p−1)q, (q−1)p).The genus of a torus knot with p,q > 0 is
:The Alexander polynomial of a torus knot is
: where The Jones polynomial of a (right-handed) torus knot is given