Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160em |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3442720709836800 = 215 · 36 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38412,-653616] |
[a1,a2,a3,a4,a6] |
j |
262389836808/144120025 |
j-invariant |
L |
2.9167549221699 |
L(r)(E,1)/r! |
Ω |
0.36459436527124 |
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 |
20160fa3 10080j3 2240o3 100800mx3 |
Quadratic twists by: -4 8 -3 5 |