Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006l |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-861466814208 = -1 · 28 · 34 · 74 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1992,56086] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:267:1] |
Generators of the group modulo torsion |
j |
-873530903492857/861466814208 |
j-invariant |
L |
3.0463773811791 |
L(r)(E,1)/r! |
Ω |
0.8100462895429 |
Real period |
R |
0.31339540103094 |
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 |
48048bp1 18018z1 42042x1 66066cx1 |
Quadratic twists by: -4 -3 -7 -11 |