How to calculate the conductor of an abelian extension such as Q[x]/(x^3- 19x -19)

[David Bernier <david250@videotron.ca>]

I'm interested in cubic extensions of Q that are abelian, in connection 
with a probable prime test. I have a list of cubic polynomials f_1, ... 
f_22 and I want to find the first f_i such that f_i is irreducible over 
F_p, where p can be assumed prime. For a given f_i, I noticed a 
periodicity in p of the irreducibility character of f_i over F_p (ref. 
Mathematics Stack Exchange at the link: 
https://math.stackexchange.com/questions/4995484/irreducibility-of-cubic-polynomials-over-finite-fields-f-p 
). User leoli1 mentioned as relevant the conductor N of the splitting 
field of f_i. I have f_8 = X^3 - 19X - 19 with discriminant 133^2. How 
could I calculate the conductor of Q[x]/(f_8) in PARI/gp?

Thanks for your help,

David Bernier