Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992v |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-1291438512 = -1 · 24 · 33 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-567,5292] |
[a1,a2,a3,a4,a6] |
Generators |
[24:78:1] |
Generators of the group modulo torsion |
j |
-1262172264448/80714907 |
j-invariant |
L |
10.785326864363 |
L(r)(E,1)/r! |
Ω |
1.505120050545 |
Real period |
R |
1.1942930913104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496b1 |
Quadratic twists by: -4 |