Atkin-Lehner |
5+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775h |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2676445556640625 = 512 · 72 · 112 · 432 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35730,-740728] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1405:1] [-26:425:1] |
Generators of the group modulo torsion |
j |
322842974085801/171292515625 |
j-invariant |
L |
6.4727941563263 |
L(r)(E,1)/r! |
Ω |
0.36876917636781 |
Real period |
R |
8.7762136465075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000348 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16555g2 |
Quadratic twists by: 5 |