Atkin-Lehner |
2- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17986i |
Isogeny class |
Conductor |
17986 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-463056260792 = -1 · 23 · 17 · 237 |
Discriminant |
Eigenvalues |
2- 1 4 -3 -6 6 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31751,2175233] |
[a1,a2,a3,a4,a6] |
j |
-23912763841/3128 |
j-invariant |
L |
5.4131135254087 |
L(r)(E,1)/r! |
Ω |
0.90218558756812 |
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 |
782b1 |
Quadratic twists by: -23 |