  Whether the glass transition is caused by an underlying singularity or is a
purely kinetic phenomenon is a significant outstanding question. Studying an
atomistic glass former, we introduce a sampling method to access temperatures
corresponding to dynamical regimes usually hard to reach with computer
simulation. We find a peak in the specific heat, which we interpret as a drop
in the density of states. We further present evidence of a liquid-liquid
transition to a state rich in locally favoured structures related to a recently
discovered dynamical phase transition.
