Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760u |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
172988923764096000 = 210 · 33 · 53 · 114 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-146576,8081424] |
[a1,a2,a3,a4,a6] |
j |
340106800488869956/168934495863375 |
j-invariant |
L |
3.4188686574059 |
L(r)(E,1)/r! |
Ω |
0.2849057214684 |
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 |
113520c3 |
Quadratic twists by: -4 |