Atkin-Lehner |
2+ 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
9960a |
Isogeny class |
Conductor |
9960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
1593600 = 28 · 3 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2076,-35724] |
[a1,a2,a3,a4,a6] |
j |
3867007151824/6225 |
j-invariant |
L |
0.70725386193693 |
L(r)(E,1)/r! |
Ω |
0.70725386193693 |
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 |
19920e1 79680z1 29880l1 49800bc1 |
Quadratic twists by: -4 8 -3 5 |