Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334p |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
26956800 |
Modular degree for the optimal curve |
Δ |
-4.9674611339399E+25 |
Discriminant |
Eigenvalues |
2- 0 3 0 -5 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59750836,-382856472297] |
[a1,a2,a3,a4,a6] |
Generators |
[31126557:4400683687:1331] |
Generators of the group modulo torsion |
j |
-26581868211026710737/55971160912175104 |
j-invariant |
L |
11.136400516679 |
L(r)(E,1)/r! |
Ω |
0.025461752728833 |
Real period |
R |
8.4111078505432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914d1 |
Quadratic twists by: -31 |