For prime rank r, the intersection number of a Hecke correspondence with the diagonal on the modular variety of D-elliptic sheaves equals r/(q-1) times sums of modified Hurwitz class numbers of imaginary orders.
On the coefficients of the Drinfeld modular equ ation
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Intersections of Hecke correspondences on the modular varieties of $\mathcal{D}$-elliptic sheaves
For prime rank r, the intersection number of a Hecke correspondence with the diagonal on the modular variety of D-elliptic sheaves equals r/(q-1) times sums of modified Hurwitz class numbers of imaginary orders.