Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160cn |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6899904000000 = -1 · 212 · 34 · 56 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2919,-109881] |
[a1,a2,a3,a4,a6] |
j |
504358336/1265625 |
j-invariant |
L |
3.0866118280751 |
L(r)(E,1)/r! |
Ω |
0.38582643939646 |
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 |
116160g2 58080bl1 116160cp2 |
Quadratic twists by: -4 8 -11 |