Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90334g |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
33965584 = 24 · 312 · 472 |
Discriminant |
Eigenvalues |
2+ -1 1 1 3 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-97,-283] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-105:1] |
Generators of the group modulo torsion |
j |
106731481/35344 |
j-invariant |
L |
4.3863263751445 |
L(r)(E,1)/r! |
Ω |
1.5595700776608 |
Real period |
R |
0.70313069555085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334b1 |
Quadratic twists by: -31 |