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How can I convert the observed magnitude to Bolometric Luminosity? I know the relation for the star but should it be same for a Quasar? Basically I want to convert the X-axis of this plot to luminosity (or mass).

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The bolometric magnitude of a quasar can be determined by the same method as a star (using total energy radiated)......but for the fact that quasars do not radiate isotropically and this distribution is dependant on wavelength A further complication comes as many photons are absorbed and re-emitted , etc Some standard methods of calculation can be found here...... Quasar bolometric corrections

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