Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25440bf |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
18251809704000 = 26 · 316 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6646,33080] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:324:1] |
Generators of the group modulo torsion |
j |
507329474113216/285184526625 |
j-invariant |
L |
5.3386601117018 |
L(r)(E,1)/r! |
Ω |
0.59507307054066 |
Real period |
R |
1.1214295302532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25440x1 50880cx2 76320t1 127200i1 |
Quadratic twists by: -4 8 -3 5 |