Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605bc |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
26707968 |
Modular degree for the optimal curve |
Δ |
-2.4688521279783E+23 |
Discriminant |
Eigenvalues |
-1 3 5- 7- 5 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18966072,39781717294] |
[a1,a2,a3,a4,a6] |
j |
-81892654209/26796875 |
j-invariant |
L |
5.219261230461 |
L(r)(E,1)/r! |
Ω |
0.093201068168704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515d1 129605k1 |
Quadratic twists by: -7 -23 |