Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032bd |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-3639949073068032 = -1 · 212 · 32 · 237 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 -1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22243,-2599413] |
[a1,a2,a3,a4,a6] |
j |
297114826660352/888659441667 |
j-invariant |
L |
3.6351388102337 |
L(r)(E,1)/r! |
Ω |
0.22719617573893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64032k1 128064d1 |
Quadratic twists by: -4 8 |