Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680ca |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-24179327893504000 = -1 · 225 · 53 · 78 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 3 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51679,-5942945] |
[a1,a2,a3,a4,a6] |
j |
10100279/16000 |
j-invariant |
L |
0.39970576480018 |
L(r)(E,1)/r! |
Ω |
0.19985288240009 |
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 |
15680b1 3920z1 78400gj1 15680dr1 |
Quadratic twists by: -4 8 5 -7 |