Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6072d |
Isogeny class |
Conductor |
6072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-3989413296 = -1 · 24 · 34 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,121,-3036] |
[a1,a2,a3,a4,a6] |
j |
12144109568/249338331 |
j-invariant |
L |
0.67608551849739 |
L(r)(E,1)/r! |
Ω |
0.67608551849739 |
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 |
12144j1 48576bt1 18216j1 66792bd1 |
Quadratic twists by: -4 8 -3 -11 |