Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6566g |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
206976 |
Modular degree for the optimal curve |
Δ |
11340104782053376 = 222 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ 3 -1 7- 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3106315,2108021957] |
[a1,a2,a3,a4,a6] |
Generators |
[-44718:1427287:27] |
Generators of the group modulo torsion |
j |
82144390611546927/281018368 |
j-invariant |
L |
4.7773311452639 |
L(r)(E,1)/r! |
Ω |
0.35281273114006 |
Real period |
R |
3.3851748559545 |
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 |
52528bi1 59094by1 6566h1 |
Quadratic twists by: -4 -3 -7 |