Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160h |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1494858240 = 29 · 38 · 5 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-384483,-91762202] |
[a1,a2,a3,a4,a6] |
j |
16840603438698248/4005 |
j-invariant |
L |
0.76690364361703 |
L(r)(E,1)/r! |
Ω |
0.19172567222089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160g4 42720m4 |
Quadratic twists by: -4 -3 |