Atkin-Lehner |
7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9163g |
Isogeny class |
Conductor |
9163 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-45254746691 = -1 · 76 · 113 · 172 |
Discriminant |
Eigenvalues |
0 -1 -3 7- 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,523,-9318] |
[a1,a2,a3,a4,a6] |
Generators |
[20:93:1] [54:416:1] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
3.7344198281731 |
L(r)(E,1)/r! |
Ω |
0.583346063124 |
Real period |
R |
0.53347690508326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82467q1 187a1 100793j1 |
Quadratic twists by: -3 -7 -11 |