In number theory, a conductor is an arithmetic invariant that records the primes at which an object is ramified or has bad reduction, together with local exponents measuring the severity. Many conductors have the form
where the are conductor exponents. Important examples include the Artin conductor and the elliptic curve conductor.
More things to try:
Weisstein, Eric W. "Conductor." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Conductor.html