Virulence effector that plays a role in hijacking the host vesicular trafficking by recruiting the small guanosine triphosphatase (GTPase) Rab1 to the cytosolic face of the Legionella-containing vacuole (LCVs). Acts as an adenosine monophosphate-protein hydrolase (de-AMPylase) by mediating the hydrolysis of adenosine 5'-monophosphate (AMP) to 'Tyr-77' of host RAB1B, thereby releasing RAB1B from bacterial phagosomes and rendering RAB1B accessible for inactivation by LepB. De-AMPylation of RAB1B cannot take place when LidA is bound to RAB1B. [Rab1 protein]-O(4)-(5'-adenylyl)-L-tyrosine + H2O = [Rab1 protein]-L-tyrosine + AMP + H(+)