Atkin-Lehner |
2- 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480bu |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
213127551516672000 = 232 · 34 · 53 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-155056,7625300] |
[a1,a2,a3,a4,a6] |
j |
100654290922421809/52033093632000 |
j-invariant |
L |
2.2255686126007 |
L(r)(E,1)/r! |
Ω |
0.27819607795412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310h1 |
Quadratic twists by: -4 |