WARNING: This page is about a different car, the 2010 BMW 135i, 2009 BMW 135i, and 2008 BMW 135i. However, it is still accessible from the selected car via links, so may be relevant.
A/C SYSTEM OIL QUANTITY TABLE
The data on the A/C compressor rating plate are definitive Refrigerant oil Fill quantity R134a Sourcing reference in Parts and Accessories Catalogue