Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3168z |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10974610944 = 29 · 311 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2822691,-1825337270] |
[a1,a2,a3,a4,a6] |
j |
6663712298552914184/29403 |
j-invariant |
L |
1.8636042950747 |
L(r)(E,1)/r! |
Ω |
0.11647526844217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3168i3 6336n3 1056d3 79200bv4 |
Quadratic twists by: -4 8 -3 5 |