Atkin-Lehner |
2- 3+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624s |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
14278459392 = 220 · 32 · 17 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4624,-119360] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:6:1] [81:176:1] |
Generators of the group modulo torsion |
j |
2669999369617/3485952 |
j-invariant |
L |
8.206946646802 |
L(r)(E,1)/r! |
Ω |
0.57899034388778 |
Real period |
R |
7.087291466438 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078k1 |
Quadratic twists by: -4 |