Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240eu |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-60656084582400000 = -1 · 224 · 37 · 55 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77172,-8504048] |
[a1,a2,a3,a4,a6] |
j |
265971760991/317400000 |
j-invariant |
L |
1.5067225272625 |
L(r)(E,1)/r! |
Ω |
0.18834031691913 |
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 |
66240bb1 16560ca1 22080cv1 |
Quadratic twists by: -4 8 -3 |