Atkin-Lehner |
2- 3+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bp |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-11479955976562500 = -1 · 22 · 312 · 510 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25638,5381031] |
[a1,a2,a3,a4,a6] |
Generators |
[31688:1012519:512] |
Generators of the group modulo torsion |
j |
-190843405225/1175547492 |
j-invariant |
L |
8.9651789049612 |
L(r)(E,1)/r! |
Ω |
0.34760280104975 |
Real period |
R |
6.4478615229281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950bi1 |
Quadratic twists by: 5 |