Alignment of the ATLAS Inner Detector with the initial LHC data at $\sqrt{s}$ = 13 TeV

The alignment of the ATLAS Inner Detector tracking system has been performed using first LHC proton-proton collision data at the $\sqrt{s}$ = 13 TeV taken in June 2015. Starting from the first alignment determined using cosmic ray data collected early in the year, the description of the detector geometry has been updated using first collision data. The procedure uses a least squares minimization algorithm to align the newly installed Insertable B-Layer pixel detector relative to the already existing Inner Detector, which was precisely aligned already during LHC Run 1. The procedures applied as well as the performance of the resulting alignment are presented. The stability of the detector system over time, the Insertable B-Layer in particular, observed during the first weeks of LHC operation is reported.