Atkin-Lehner |
2- 5+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119990k |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1250496 |
Modular degree for the optimal curve |
Δ |
489397646063950 = 2 · 52 · 1310 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 6 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-600376,-179100494] |
[a1,a2,a3,a4,a6] |
j |
173604190201/3550 |
j-invariant |
L |
3.0872141085922 |
L(r)(E,1)/r! |
Ω |
0.17151189800916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119990i1 |
Quadratic twists by: 13 |