Atkin-Lehner |
5+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
97825g |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
1582204736328125 = 511 · 73 · 133 · 43 |
Discriminant |
Eigenvalues |
2 2 5+ 7+ -6 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-57008,4896043] |
[a1,a2,a3,a4,a6] |
j |
1311350297890816/101261103125 |
j-invariant |
L |
3.719268362621 |
L(r)(E,1)/r! |
Ω |
0.46490857412173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19565i1 |
Quadratic twists by: 5 |