Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680do |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-28098560 = -1 · 214 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -5 -7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-485,-4285] |
[a1,a2,a3,a4,a6] |
j |
-2249728/5 |
j-invariant |
L |
1.0170251506245 |
L(r)(E,1)/r! |
Ω |
0.50851257531225 |
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 |
15680bs1 3920f1 78400ia1 15680cm1 |
Quadratic twists by: -4 8 5 -7 |