Atkin-Lehner |
2+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43160d |
Isogeny class |
Conductor |
43160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-38652801200 = -1 · 24 · 52 · 132 · 833 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 -5 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,749,4976] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1079:1] |
Generators of the group modulo torsion |
j |
2900475631616/2415800075 |
j-invariant |
L |
3.5985785991751 |
L(r)(E,1)/r! |
Ω |
0.74530200067091 |
Real period |
R |
0.20118123234674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86320c1 |
Quadratic twists by: -4 |