Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006m |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
6951907079749632 = 232 · 3 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55567,-3058366] |
[a1,a2,a3,a4,a6] |
j |
18974193623767438057/6951907079749632 |
j-invariant |
L |
1.2820327316051 |
L(r)(E,1)/r! |
Ω |
0.32050818290127 |
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 |
48048br1 18018bb1 42042t1 66066cu1 |
Quadratic twists by: -4 -3 -7 -11 |