Atkin-Lehner |
5+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775h |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
12630462646484375 = 518 · 7 · 11 · 43 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-449605,-115797978] |
[a1,a2,a3,a4,a6] |
Generators |
[-377:305:1] [54100:636887:64] |
Generators of the group modulo torsion |
j |
643274265372706521/808349609375 |
j-invariant |
L |
6.4727941563263 |
L(r)(E,1)/r! |
Ω |
0.18438458818391 |
Real period |
R |
35.10485458603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16555g3 |
Quadratic twists by: 5 |