Atkin-Lehner |
2- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17986g |
Isogeny class |
Conductor |
17986 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
123648 |
Modular degree for the optimal curve |
Δ |
-26162447206617604 = -1 · 22 · 174 · 238 |
Discriminant |
Eigenvalues |
2- 0 -1 0 0 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-265393,53262373] |
[a1,a2,a3,a4,a6] |
j |
-26397808929/334084 |
j-invariant |
L |
3.0204996398509 |
L(r)(E,1)/r! |
Ω |
0.37756245498137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17986d1 |
Quadratic twists by: -23 |