  We construct Stickelberger elements for Hilbert modular cusp forms of
parallel weight 2 and use recent results of Dasgupta and Spiess to bound their
order of vanishing from below. As a special case the vanishing part of Mazur
and Tate's refined "Birch and Swinnerton-Dyer type"-conjecture for elliptic
curves of rank 0 follows.
