Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400bn |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
304560000000000 = 213 · 34 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202408,-34972688] |
[a1,a2,a3,a4,a6] |
j |
14329429649569/4758750 |
j-invariant |
L |
1.8006989002378 |
L(r)(E,1)/r! |
Ω |
0.22508736284492 |
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 |
7050k3 11280w3 |
Quadratic twists by: -4 5 |