Atkin-Lehner |
2- 5+ 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17690g |
Isogeny class |
Conductor |
17690 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-3541340123905600 = -1 · 26 · 52 · 296 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22461,3140785] |
[a1,a2,a3,a4,a6] |
j |
-1253176332327140689/3541340123905600 |
j-invariant |
L |
1.5664899442196 |
L(r)(E,1)/r! |
Ω |
0.3916224860549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
88450h2 |
Quadratic twists by: 5 |