Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400ch |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-205492980375000000 = -1 · 26 · 39 · 59 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101925,-25150500] |
[a1,a2,a3,a4,a6] |
Generators |
[602261:6153524:1331] |
Generators of the group modulo torsion |
j |
-5949419328/10440125 |
j-invariant |
L |
8.9141009102972 |
L(r)(E,1)/r! |
Ω |
0.12613595116829 |
Real period |
R |
8.8338225977328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400f1 122400a1 24480d1 |
Quadratic twists by: -4 -3 5 |