Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950bx |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-251377302528000000 = -1 · 216 · 36 · 56 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,117787,-18384469] |
[a1,a2,a3,a4,a6] |
Generators |
[189:3172:1] |
Generators of the group modulo torsion |
j |
11566328890520951/16088147361792 |
j-invariant |
L |
7.5720137137638 |
L(r)(E,1)/r! |
Ω |
0.16566565316755 |
Real period |
R |
1.4283312444719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850bv1 1518g1 |
Quadratic twists by: -3 5 |