Atkin-Lehner |
2+ 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006j |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23341114298502 = 2 · 32 · 78 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12247,-468004] |
[a1,a2,a3,a4,a6] |
j |
203124303447538537/23341114298502 |
j-invariant |
L |
0.91446248153894 |
L(r)(E,1)/r! |
Ω |
0.45723124076947 |
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 |
48048bu2 18018bf2 42042m2 66066cy2 |
Quadratic twists by: -4 -3 -7 -11 |