Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9555r |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
27720 |
Modular degree for the optimal curve |
Δ |
-2826422517555 = -1 · 37 · 5 · 76 · 133 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -1 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9326,-359089] |
[a1,a2,a3,a4,a6] |
j |
-762549907456/24024195 |
j-invariant |
L |
5.0916210042323 |
L(r)(E,1)/r! |
Ω |
0.24245814305868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28665bw1 47775l1 195d1 124215db1 |
Quadratic twists by: -3 5 -7 13 |