Precision Luminosity for Z0 Lineshape Measurements with a Silicon-Tungsten Calorimeter The measurement of the luminosity at the OPAL interaction point is based on a Silicon-Tungsten Luminometer, which detects electrons from small-angle Bhabha scattering at angles between 25 and 58 mrad. The trajectories of incoming 45 GeV electrons or photons can be determined with a total systematic error of less than 7 microns. The total systematic measurement uncertainty on the luminosity is 3.4 10^-4, significantly below the theoretical error of 5.4 10^-4. Such precise measurement of the luminosity is crucial for determining the coupling of the Z-boson to invisible channels, such as neutrinos. Parallel session :5 Plenary session :6a