Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680bl |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-30224159866880 = -1 · 220 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 2 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412972,102148144] |
[a1,a2,a3,a4,a6] |
j |
-5154200289/20 |
j-invariant |
L |
1.1610197159432 |
L(r)(E,1)/r! |
Ω |
0.58050985797159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680dg1 490f1 78400p1 15680ba1 |
Quadratic twists by: -4 8 5 -7 |