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In this article, we study the adjoint Selmer group of a modular form thatadmits a Jacquet-Langlands transfer to a modular form on a definite quaternionalgebra. We show that this Selmer group has length given by the valuation ofthe Petersson norm of the quaternionic modular form. Our proof is based on anEuler system argument first used by Flach in his study for the adjoint Selmergroup of an elliptic curve by producing elements in the motivic cohomology ofthe product of two Shimura curves. However our construction does not involveSiegel modular units which make it more adaptable to study adjoint motivescoming from products of higher dimensional Shimura varieties.

Flach system of Jacquet-Langlands type and quaternionic period