Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368bn |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1.2887469480669E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16087692,24842409712] |
[a1,a2,a3,a4,a6] |
Generators |
[56874:468512:27] |
Generators of the group modulo torsion |
j |
-2409558590804994721/674373039626 |
j-invariant |
L |
8.0316642395894 |
L(r)(E,1)/r! |
Ω |
0.18103113705346 |
Real period |
R |
1.1091550837067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82368dl2 2574h2 9152a2 |
Quadratic twists by: -4 8 -3 |