Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480bs |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2260992 |
Modular degree for the optimal curve |
Δ |
4706298006930000 = 24 · 316 · 54 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2275521,-1321957170] |
[a1,a2,a3,a4,a6] |
Generators |
[4422:274050:1] |
Generators of the group modulo torsion |
j |
81441631233316171300864/294143625433125 |
j-invariant |
L |
5.1199163816424 |
L(r)(E,1)/r! |
Ω |
0.1229219442729 |
Real period |
R |
2.6032355446615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999782039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620a1 |
Quadratic twists by: -4 |