Type number for orders of level (N_1,N_2)

Yifan Luo, Haigang Zhou

We establish an explicit formula for the type number of quaternion orders of level $(N_1,N_2)$, where $N_1=p_1^{2u_1+1}\cdots p_w^{2u_w+1}$ (with $u_i\ge 0$ and $w$ odd) and…