  In this paper we treat in details a modular variety $\cal Y$ that has a
Calabi-Yau model, $\tilde{\cal Y}$. We shall describe the structure of the ring
of modular forms and its geometry. We shall illustrate two different methods of
producing the Hodge numbers. The first uses the definition of $\cal Y$ as the
quotient of another known Calabi-Yau variety. In this case we will get the
Hodge numbers considering the action of the group on a crepant resolution
$\tilde{\cal X}$ of $\cal X$. The second, purely algebraic geometric, uses the
equations derived from the ring of modular forms and is based on determining
explicitly the Calabi-Yau model $\tilde{\cal Y}$ and computing the Picard group
and the Euler characteristic.
