Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
26505d |
Isogeny class |
Conductor |
26505 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1585152 |
Modular degree for the optimal curve |
Δ |
-6.7856559565537E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4585207,-1195323384] |
[a1,a2,a3,a4,a6] |
Generators |
[6148094911546698418:392607978685935027231:2459336321198141] |
Generators of the group modulo torsion |
j |
14624233506321254606519/9308170036424875095 |
j-invariant |
L |
3.434204194681 |
L(r)(E,1)/r! |
Ω |
0.076377018733706 |
Real period |
R |
22.481920947023 |
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 |
8835c1 |
Quadratic twists by: -3 |