Atkin-Lehner |
2- 3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
125424v |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-26546365872 = -1 · 24 · 37 · 132 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 4 6 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2604,51743] |
[a1,a2,a3,a4,a6] |
j |
-167416840192/2275923 |
j-invariant |
L |
4.7681679559989 |
L(r)(E,1)/r! |
Ω |
1.1920424669612 |
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 |
31356f1 41808j1 |
Quadratic twists by: -4 -3 |