Atkin-Lehner |
2- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17986h |
Isogeny class |
Conductor |
17986 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-39137536 = -1 · 28 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 0 -3 -2 2 -7 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19,307] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:18:1] [1:16:1] |
Generators of the group modulo torsion |
j |
-1364337/73984 |
j-invariant |
L |
8.325001010726 |
L(r)(E,1)/r! |
Ω |
1.6939517730961 |
Real period |
R |
0.30715901800403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17986f1 |
Quadratic twists by: -23 |