Atkin-Lehner |
2- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
109330w |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.8307932342529E+21 |
Discriminant |
Eigenvalues |
2- 2 5- -4 4 13+ 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4648645,2450593495] |
[a1,a2,a3,a4,a6] |
j |
765809734949/264062500 |
j-invariant |
L |
8.213450181142 |
L(r)(E,1)/r! |
Ω |
0.12833515053089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109330k2 |
Quadratic twists by: 29 |