Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160ct |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4320812160000 = 210 · 39 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11448,460728] |
[a1,a2,a3,a4,a6] |
j |
8232302592/214375 |
j-invariant |
L |
1.5503832918185 |
L(r)(E,1)/r! |
Ω |
0.77519164590926 |
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 |
20160k1 5040e1 20160df1 100800ju1 |
Quadratic twists by: -4 8 -3 5 |