Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25392q |
Isogeny class |
Conductor |
25392 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
1470884593104 = 24 · 33 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109679,-14017344] |
[a1,a2,a3,a4,a6] |
Generators |
[236992:5319600:343] |
Generators of the group modulo torsion |
j |
61604313088/621 |
j-invariant |
L |
3.9123707659396 |
L(r)(E,1)/r! |
Ω |
0.26234247825551 |
Real period |
R |
9.9421458340908 |
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 |
12696o1 101568ck1 76176n1 1104c1 |
Quadratic twists by: -4 8 -3 -23 |