Atkin-Lehner |
2- 7+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78736k |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-524288536576 = -1 · 212 · 7 · 192 · 373 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 5 3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1563,-24941] |
[a1,a2,a3,a4,a6] |
j |
103029788672/128000131 |
j-invariant |
L |
0.99253954578309 |
L(r)(E,1)/r! |
Ω |
0.49626978263626 |
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 |
4921d1 |
Quadratic twists by: -4 |