Atkin-Lehner |
2- 5+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17690g |
Isogeny class |
Conductor |
17690 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2708039677350062500 = -1 · 22 · 56 · 292 · 616 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,196199,-71745219] |
[a1,a2,a3,a4,a6] |
j |
835245111146716135151/2708039677350062500 |
j-invariant |
L |
1.5664899442196 |
L(r)(E,1)/r! |
Ω |
0.13054082868497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88450h4 |
Quadratic twists by: 5 |