Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350cn |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.083458100433E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15188963,-16382195583] |
[a1,a2,a3,a4,a6] |
j |
24802077511572642241129/6934131842771020800 |
j-invariant |
L |
6.2473151574072 |
L(r)(E,1)/r! |
Ω |
0.078091441488116 |
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 |
19470b2 |
Quadratic twists by: 5 |