A (1,1) knot K in a 3-manifold M is a knot that intersects each solid torus
of a genus 1 Heegaard splitting of M in a single trivial arc. Choi and Ko
developed a parameterization of this family of knots by a four-tuple of
integers, which they call Schubert's normal form. This article presents an
algorithm for constructing a doubly-pointed Heegaard diagram compatible with K,
given a Schubert's normal form for K. The construction, coupled with results of
Ozsv\'ath and Szab\'o, provides a practical way to compute knot Floer homology
groups for (1,1) knots. The construction uses train tracks, and its method is
inspired by the work of Goda, Matsuda and Morifuji.