We report measurements of the current noise generated in the optimally doped, x=0.15, Au-LSCO junctions. For high transmission junctions on (110) surface, we observed a split zero-bias conductance peak (ZBCP), accompanied by enhanced shot noise. We attribute the enhanced noise to the Cooper pair transport through the junction. The ZBCP disappears and the noise decreases to the noise expected for the charge e with heating at temperatures well below Tc, and at voltages much smaller than the bulk superconducting gap, setting a new energy scale of 0.5mV. We relate this scale to a subdominant order parameter id_xy or is at the sample surface.