Atkin-Lehner |
5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52345d |
Isogeny class |
Conductor |
52345 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
304000 |
Modular degree for the optimal curve |
Δ |
46789716177955 = 5 · 199 · 29 |
Discriminant |
Eigenvalues |
-1 -1 5+ 1 -3 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1127591,-461336622] |
[a1,a2,a3,a4,a6] |
j |
491355848971/145 |
j-invariant |
L |
0.29301621716636 |
L(r)(E,1)/r! |
Ω |
0.14650810807573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52345b1 |
Quadratic twists by: -19 |