Atkin-Lehner |
3+ 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50025j |
Isogeny class |
Conductor |
50025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
125440 |
Modular degree for the optimal curve |
Δ |
128966413231125 = 37 · 53 · 23 · 295 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 2 -2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16763,-626347] |
[a1,a2,a3,a4,a6] |
j |
4167684567498752/1031731305849 |
j-invariant |
L |
0.85435085823861 |
L(r)(E,1)/r! |
Ω |
0.42717542882576 |
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 |
50025x1 |
Quadratic twists by: 5 |