Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
28896d |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
462336 = 29 · 3 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9632,367080] |
[a1,a2,a3,a4,a6] |
j |
193040423122184/903 |
j-invariant |
L |
2.000925391735 |
L(r)(E,1)/r! |
Ω |
2.0009253917342 |
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 |
28896t4 57792bf4 86688bp4 |
Quadratic twists by: -4 8 -3 |