Electrical conductivity is related to the Electron Mobility:
https://en.wikipedia.org/wiki/Electron_mobility#Relation_to_conductivity
However, this contains an important variable: the electron density. This density is not the total density of electrons in the substance, but rather the density of "free" electrons. Neutral, low-temperature/pressure Argon will not have any free electrons.
That said, I did find this source, which measured the electrical conductivity of Argon, Krypton, and Xenon at high pressures (and presumably temperatures):
https://aip.scitation.org/doi/abs/10.1063/1.1303633
They do find some conductivity, but it's not a simple relation: the conductivity depends exponentially upon temperature within certain experimental regimes (this is expected for substances with no free electrons). I can't access the full paper, so I don't know the details.
My guess is that the answer is that the conductivity is zero at low temperatures, but it's possible for Argon to become conductive at high pressures and temperatures.