Consider the surface
${\bf{x}}(u,v)=\big(a\,\sin{u}\,\sin(2v),\,a\,\cos{u},\,a\,\sin{u}\,\sin{v}\big)\,,\quad a>0,\,\; u\in[0,\pi)\,,\; v\in[0,2\pi)\,.$
I'm interested for any of its topological or geometrical properties (this is not some homework task!). For example: is it orientable? (except of its "poles" $(0,-a,0)$ and $(0,a,0)$). Is there any well known surface to which is homotopically equivalent? Thanks in advanced.