Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162bq |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-32359021431264 = -1 · 25 · 39 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 5 11- 6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1429,272539] |
[a1,a2,a3,a4,a6] |
j |
9261/928 |
j-invariant |
L |
10.078569174613 |
L(r)(E,1)/r! |
Ω |
0.50392845884951 |
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 |
63162h1 522a1 |
Quadratic twists by: -3 -11 |