Atkin-Lehner |
2+ 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
82656n |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
8 |
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 |
[84920:1839852:125] |
Generators of the group modulo torsion |
j |
-855643367097856/854487863523 |
j-invariant |
L |
9.2422846805474 |
L(r)(E,1)/r! |
Ω |
0.23390129816395 |
Real period |
R |
4.9392012540115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656bl1 27552l1 |
Quadratic twists by: -4 -3 |