Atkin-Lehner |
2- 3- 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590cj |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
1689600 |
Modular degree for the optimal curve |
Δ |
-550260229259700000 = -1 · 25 · 312 · 55 · 234 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 1 -2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2423462,1453163861] |
[a1,a2,a3,a4,a6] |
Generators |
[861:-2501:1] |
Generators of the group modulo torsion |
j |
-2159258604297131921689/754815129300000 |
j-invariant |
L |
12.353087402254 |
L(r)(E,1)/r! |
Ω |
0.2862988228724 |
Real period |
R |
0.21573765614807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530n1 |
Quadratic twists by: -3 |