Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720br |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
471409424640 = 28 · 314 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2127,-18286] |
[a1,a2,a3,a4,a6] |
j |
5702413264/2525985 |
j-invariant |
L |
2.929650778484 |
L(r)(E,1)/r! |
Ω |
0.73241269462114 |
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 |
55440bc1 9240a1 |
Quadratic twists by: -4 -3 |