Atkin-Lehner |
3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20097i |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
108589429225431 = 310 · 78 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19364,912728] |
[a1,a2,a3,a4,a6] |
j |
1101438820807417/148956693039 |
j-invariant |
L |
1.1435411334726 |
L(r)(E,1)/r! |
Ω |
0.57177056673632 |
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 |
6699f3 |
Quadratic twists by: -3 |