Atkin-Lehner |
2+ 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82160f |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-85446400 = -1 · 28 · 52 · 132 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60,-500] |
[a1,a2,a3,a4,a6] |
Generators |
[14:40:1] [23:104:1] |
Generators of the group modulo torsion |
j |
-94875856/333775 |
j-invariant |
L |
7.1980769651575 |
L(r)(E,1)/r! |
Ω |
0.78618931660572 |
Real period |
R |
4.5778267479953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41080d1 |
Quadratic twists by: -4 |