doi:10.1016/j.jnt.2013.04.018engde Vera-Piquero, CarlosThe Shimura covering of a Shimura curve: automorphisms and étale subcoveringsART-2013-142198Let X be the Shimura curve associated with an indefinite rational quaternion algebra of discriminant D, and let p be a prime dividing D. In their investigations on the arithmetic of X, Jordan and Skorobogatov introduced a covering Xp of X whose maximal étale quotient is referred to as the Shimura covering of X at p. The goal of this note is to describe the group of modular automorphisms of the curve Xp and its quotients. As an application, we construct cyclic étale Galois coverings of Atkin-Lehner quotients of X.2013http://zaguan.unizar.es/record/14979210.1016/j.jnt.2013.04.018http://zaguan.unizar.es/record/149792oai:zaguan.unizar.es:149792JOURNAL OF NUMBER THEORY 133, 10 (2013), 3500-3516by-nc-ndhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.esinfo:eu-repo/semantics/openAccess