Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656r |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-2570932224 = -1 · 212 · 37 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52428,4620544] |
[a1,a2,a3,a4,a6] |
Generators |
[134:36:1] |
Generators of the group modulo torsion |
j |
-5337355226176/861 |
j-invariant |
L |
5.7580964359864 |
L(r)(E,1)/r! |
Ω |
1.1322185833254 |
Real period |
R |
0.317854725493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656f1 27552z1 |
Quadratic twists by: -4 -3 |