Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6864l |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1005109248 = 214 · 3 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 11+ 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-976,11968] |
[a1,a2,a3,a4,a6] |
j |
25128011089/245388 |
j-invariant |
L |
3.1362503934941 |
L(r)(E,1)/r! |
Ω |
1.568125196747 |
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 |
858m2 27456cp2 20592bp2 75504bz2 |
Quadratic twists by: -4 8 -3 -11 |