Atkin-Lehner |
5- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775bf |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
23811840 |
Modular degree for the optimal curve |
Δ |
-3.1718002754417E+23 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1557072833,23648426992869] |
[a1,a2,a3,a4,a6] |
Generators |
[181914:94321:8] |
Generators of the group modulo torsion |
j |
-1068785270647664997109596160/811980870513070027 |
j-invariant |
L |
3.8939284940085 |
L(r)(E,1)/r! |
Ω |
0.08031964218071 |
Real period |
R |
1.0100083635386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917286 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82775g1 |
Quadratic twists by: 5 |