Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616gi |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-135853535664 = -1 · 24 · 38 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1176,8575] |
[a1,a2,a3,a4,a6] |
Generators |
[8584:93015:512] |
Generators of the group modulo torsion |
j |
131072/99 |
j-invariant |
L |
8.4469366168206 |
L(r)(E,1)/r! |
Ω |
0.66343467673894 |
Real period |
R |
6.3660650492841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19404r1 25872cp1 1584r1 |
Quadratic twists by: -4 -3 -7 |