Atkin-Lehner |
2+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
17986c |
Isogeny class |
Conductor |
17986 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
181054997969672 = 23 · 172 · 238 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 0 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18262,-696576] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:288:1] |
Generators of the group modulo torsion |
j |
4549540393/1223048 |
j-invariant |
L |
1.3508682458785 |
L(r)(E,1)/r! |
Ω |
0.41894617005407 |
Real period |
R |
1.6122217392561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
782a2 |
Quadratic twists by: -23 |