Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720n |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
576847319040 = 212 · 312 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22856,1337136] |
[a1,a2,a3,a4,a6] |
j |
322391399464009/140831865 |
j-invariant |
L |
1.809884707613 |
L(r)(E,1)/r! |
Ω |
0.90494235380649 |
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 |
795d3 50880eb4 38160ce4 63600cy4 |
Quadratic twists by: -4 8 -3 5 |