Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
82656bl |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1284096 |
Modular degree for the optimal curve |
Δ |
-2551487088673861632 = -1 · 212 · 317 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -1 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284808,-96585680] |
[a1,a2,a3,a4,a6] |
Generators |
[1865:76545:1] |
Generators of the group modulo torsion |
j |
-855643367097856/854487863523 |
j-invariant |
L |
9.3369543660087 |
L(r)(E,1)/r! |
Ω |
0.099327927210814 |
Real period |
R |
1.9583604330462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656n1 27552h1 |
Quadratic twists by: -4 -3 |