Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616ea |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
-2.1288846409467E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-258681339,1601385044266] |
[a1,a2,a3,a4,a6] |
j |
-61279455929796531/681472 |
j-invariant |
L |
1.8133966175476 |
L(r)(E,1)/r! |
Ω |
0.15111638598887 |
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 |
9702bh1 77616dl2 77616da1 |
Quadratic twists by: -4 -3 -7 |