Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066bp |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
19415523064025088 = 212 · 35 · 7 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6747507,-6749069007] |
[a1,a2,a3,a4,a6] |
j |
19177749277229260873/10959556608 |
j-invariant |
L |
4.4962967907728 |
L(r)(E,1)/r! |
Ω |
0.093672849877804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006g1 |
Quadratic twists by: -11 |