Atkin-Lehner |
2- 3+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090cf |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
7569408 |
Modular degree for the optimal curve |
Δ |
-8.3437946341468E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3148792,3831857227] |
[a1,a2,a3,a4,a6] |
j |
175414087671534369477/423908684354355200 |
j-invariant |
L |
2.920998457046 |
L(r)(E,1)/r! |
Ω |
0.091281203231375 |
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 |
90090j1 |
Quadratic twists by: -3 |