Atkin-Lehner |
5- 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775s |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
123245062873625 = 53 · 7 · 116 · 433 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14841168,-22007699273] |
[a1,a2,a3,a4,a6] |
Generators |
[10658:1009815:1] |
Generators of the group modulo torsion |
j |
2892130894582541229488597/985960502989 |
j-invariant |
L |
1.605174262808 |
L(r)(E,1)/r! |
Ω |
0.076918806016409 |
Real period |
R |
6.9561413494737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82775z2 |
Quadratic twists by: 5 |