Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17986d |
Isogeny class |
Conductor |
17986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-176730436 = -1 · 22 · 174 · 232 |
Discriminant |
Eigenvalues |
2- 0 1 0 0 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-502,-4247] |
[a1,a2,a3,a4,a6] |
Generators |
[2548:11121:64] |
Generators of the group modulo torsion |
j |
-26397808929/334084 |
j-invariant |
L |
7.8637414379571 |
L(r)(E,1)/r! |
Ω |
0.50400410093013 |
Real period |
R |
3.9006336572683 |
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 |
17986g1 |
Quadratic twists by: -23 |