Atkin-Lehner |
2- 3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
125424s |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5013504 |
Modular degree for the optimal curve |
Δ |
-4.6118697764358E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 -6 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1306263,-661033006] |
[a1,a2,a3,a4,a6] |
j |
-1320833560785975376/247120937094681 |
j-invariant |
L |
0.55920227479031 |
L(r)(E,1)/r! |
Ω |
0.069900277688436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31356e1 41808h1 |
Quadratic twists by: -4 -3 |