Exceptional zeros and L-invariants of Bianchi modular forms

Let f be a Bianchi modular form, that is, an automorphic form for GL2 over an imaginary quadratic field F . In this paper, we prove an exceptional zero conjecture in the case where f is new at a prime above p. More precisely, for each prime p of F above p we prove the existence of an L-invariant Lp, depending only on p and f , such that when the p-adic L-function of f has an exceptional zero at p, its derivative can be related to the classical L-value multiplied by Lp. The proof uses cohomological methods of Darmon and Orton, who proved similar results for GL2/Q. When p is not split and f is the base-change of a classical modular form f̃ , we relate Lp to the L-invariant of f̃ , resolving a conjecture of Trifković in this case.