Atkin-Lehner |
2- 3- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
124236y |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-126094418542842624 = -1 · 28 · 315 · 74 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 5 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124536,-24042188] |
[a1,a2,a3,a4,a6] |
j |
-1144566302875648/675660250251 |
j-invariant |
L |
3.9590398609154 |
L(r)(E,1)/r! |
Ω |
0.12371998682125 |
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 |
41412k1 |
Quadratic twists by: -3 |