Atkin-Lehner |
3- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50025s |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
7633209228515625 = 3 · 518 · 23 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-131251,-17823727] |
[a1,a2,a3,a4,a6] |
j |
16003198512756001/488525390625 |
j-invariant |
L |
1.0051840208874 |
L(r)(E,1)/r! |
Ω |
0.25129600519331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10005e1 |
Quadratic twists by: 5 |