Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334w |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
39765191729649184 = 25 · 319 · 47 |
Discriminant |
Eigenvalues |
2- -3 -3 3 -2 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-440799,112344999] |
[a1,a2,a3,a4,a6] |
Generators |
[349:786:1] |
Generators of the group modulo torsion |
j |
10672703078913/44805664 |
j-invariant |
L |
5.3148549530923 |
L(r)(E,1)/r! |
Ω |
0.36509881972391 |
Real period |
R |
1.4557305236218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914e1 |
Quadratic twists by: -31 |