Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350dk |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1641600 |
Modular degree for the optimal curve |
Δ |
885455042705576000 = 26 · 53 · 73 · 199 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-336520,-59883893] |
[a1,a2,a3,a4,a6] |
j |
104487111/21952 |
j-invariant |
L |
3.6208822387654 |
L(r)(E,1)/r! |
Ω |
0.20116021513647 |
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 |
126350ba1 126350bl1 |
Quadratic twists by: 5 -19 |