Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3192f |
Isogeny class |
Conductor |
3192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23288832 = 210 · 32 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-168,-864] |
[a1,a2,a3,a4,a6] |
j |
515150500/22743 |
j-invariant |
L |
2.6580980142281 |
L(r)(E,1)/r! |
Ω |
1.329049007114 |
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 |
6384e2 25536h2 9576t2 79800bf2 |
Quadratic twists by: -4 8 -3 5 |