Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720bn |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
15966849600 = 26 · 310 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-777,-5704] |
[a1,a2,a3,a4,a6] |
j |
1111934656/342225 |
j-invariant |
L |
1.8519410022759 |
L(r)(E,1)/r! |
Ω |
0.92597050113794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18720bm1 37440es2 6240b1 93600bw1 |
Quadratic twists by: -4 8 -3 5 |