Atkin-Lehner |
2- 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006bb |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9892398516 = 22 · 3 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9202,338960] |
[a1,a2,a3,a4,a6] |
j |
86173423834915873/9892398516 |
j-invariant |
L |
4.9589438821916 |
L(r)(E,1)/r! |
Ω |
1.2397359705479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048by4 18018j3 42042ca4 66066bc4 |
Quadratic twists by: -4 -3 -7 -11 |