Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25284b |
Isogeny class |
Conductor |
25284 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
41033324815056 = 24 · 37 · 73 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9417,-166410] |
[a1,a2,a3,a4,a6] |
Generators |
[-495460:4055255:21952] |
Generators of the group modulo torsion |
j |
16830361255936/7476917787 |
j-invariant |
L |
5.6543849697142 |
L(r)(E,1)/r! |
Ω |
0.50501834530186 |
Real period |
R |
11.196395185079 |
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 |
101136cz1 75852f1 25284i1 |
Quadratic twists by: -4 -3 -7 |