Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680dg |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
24847468800 = 28 · 3 · 52 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13540,-610912] |
[a1,a2,a3,a4,a6] |
Generators |
[7572:113680:27] |
Generators of the group modulo torsion |
j |
9115564624/825 |
j-invariant |
L |
8.1533189878223 |
L(r)(E,1)/r! |
Ω |
0.44258284296421 |
Real period |
R |
4.6055326800366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360bp1 1320f1 |
Quadratic twists by: -4 -7 |