Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160et |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3306158000640000 = 212 · 36 · 54 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109545,-13714857] |
[a1,a2,a3,a4,a6] |
j |
20034997696/455625 |
j-invariant |
L |
6.306866316087 |
L(r)(E,1)/r! |
Ω |
0.26278610246495 |
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 |
116160cl2 58080f1 960h2 |
Quadratic twists by: -4 8 -11 |