Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6864u |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
67543889707008 = 215 · 38 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12072,-326988] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:432:1] |
Generators of the group modulo torsion |
j |
47504791830313/16490207448 |
j-invariant |
L |
5.4472022725019 |
L(r)(E,1)/r! |
Ω |
0.46839068111075 |
Real period |
R |
0.72685080160864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
858a4 27456bw3 20592bn4 75504cx3 |
Quadratic twists by: -4 8 -3 -11 |