Atkin-Lehner |
2- 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006bb |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-145297152 = -1 · 28 · 34 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,98,452] |
[a1,a2,a3,a4,a6] |
j |
104021936927/145297152 |
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 |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48048by1 18018j1 42042ca1 66066bc1 |
Quadratic twists by: -4 -3 -7 -11 |