Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17986f |
Isogeny class |
Conductor |
17986 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
-5793759935029504 = -1 · 28 · 172 · 238 |
Discriminant |
Eigenvalues |
2- 0 3 2 -2 -7 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9886,-3679187] |
[a1,a2,a3,a4,a6] |
Generators |
[397:7207:1] |
Generators of the group modulo torsion |
j |
-1364337/73984 |
j-invariant |
L |
8.9960666278817 |
L(r)(E,1)/r! |
Ω |
0.18726469502845 |
Real period |
R |
1.0008189462464 |
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 |
17986h1 |
Quadratic twists by: -23 |