Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368dl |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
4 |
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 |
[409697757537671933257801620:-49136481241388149701074423408:26392138105723877698875] |
Generators of the group modulo torsion |
j |
-2409558590804994721/674373039626 |
j-invariant |
L |
5.6566065808569 |
L(r)(E,1)/r! |
Ω |
0.037691101676969 |
Real period |
R |
37.519509441093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82368bn2 20592bs2 9152ba2 |
Quadratic twists by: -4 8 -3 |