Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040j |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
408167654400 = 210 · 32 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,-13440] |
[a1,a2,a3,a4,a6] |
j |
470596/225 |
j-invariant |
L |
3.0028362549035 |
L(r)(E,1)/r! |
Ω |
0.75070906372625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14520bo2 116160jm2 87120cn2 240c2 |
Quadratic twists by: -4 8 -3 -11 |