Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126em |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-46875130368066 = -1 · 2 · 37 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94604,-11180991] |
[a1,a2,a3,a4,a6] |
j |
-22281070777/11154 |
j-invariant |
L |
4.3554141464155 |
L(r)(E,1)/r! |
Ω |
0.13610669937614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042b1 126126ga1 |
Quadratic twists by: -3 -7 |