Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160cr |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35396093214720 = 220 · 39 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60588,5733072] |
[a1,a2,a3,a4,a6] |
j |
4767078987/6860 |
j-invariant |
L |
1.302950348254 |
L(r)(E,1)/r! |
Ω |
0.65147517412699 |
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 |
20160h3 5040y3 20160dd1 100800jn3 |
Quadratic twists by: -4 8 -3 5 |