  We use 3D simulations to demonstrate that high-quality ultra-relativistic
electron bunches can be generated upon reflection of a twisted laser beam off a
plasma mirror. The unique topology of the beam with a twist index $|l| = 1$
creates an accelerating structure dominated by longitudinal laser electric and
magnetic fields in the near-axis region. We show that the magnetic field is
essential for creating a train of dense mono-energetic bunches. For a 6.8~PW
laser, the energy reaches 1.6~GeV with a spread of 5.5\%. The bunch duration is
320 as, its charge is 60~pC and density is $\sim 10^{27}$~m$^{-3}$. The results
are confirmed by an analytical model for the electron energy gain. These
results enable development of novel laser-driven accelerators at multi-PW laser
facilities.
