Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6864m |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1934851007232 = 28 · 37 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11044,-438020] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1196:1] |
Generators of the group modulo torsion |
j |
581972233018192/7558011747 |
j-invariant |
L |
3.205192858329 |
L(r)(E,1)/r! |
Ω |
0.46607510197059 |
Real period |
R |
3.4384939731572 |
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 |
1716c2 27456ce2 20592bu2 75504bl2 |
Quadratic twists by: -4 8 -3 -11 |