Atkin-Lehner |
2- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17986l |
Isogeny class |
Conductor |
17986 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-115764065198 = -1 · 2 · 17 · 237 |
Discriminant |
Eigenvalues |
2- 3 0 1 2 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,165,-16391] |
[a1,a2,a3,a4,a6] |
j |
3375/782 |
j-invariant |
L |
8.9038662721983 |
L(r)(E,1)/r! |
Ω |
0.49465923734435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
782d1 |
Quadratic twists by: -23 |