Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624bm |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14225508465981696 = 28 · 34 · 138 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-764612,-257022780] |
[a1,a2,a3,a4,a6] |
Generators |
[1931933670:300947960040:79507] |
Generators of the group modulo torsion |
j |
40008063416272/11512449 |
j-invariant |
L |
8.4605141597418 |
L(r)(E,1)/r! |
Ω |
0.16145322688831 |
Real period |
R |
13.100565256948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024303 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9048e2 |
Quadratic twists by: 13 |