Atkin-Lehner |
2+ 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bl |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
29138078970000 = 24 · 37 · 54 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33444,-2331392] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:164:1] [-103:164:1] |
Generators of the group modulo torsion |
j |
5674898948217409/39969930000 |
j-invariant |
L |
8.7744651861426 |
L(r)(E,1)/r! |
Ω |
0.35318621752638 |
Real period |
R |
3.1054670139407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bc1 |
Quadratic twists by: -3 |