Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
11220d |
Isogeny class |
Conductor |
11220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
196224 |
Modular degree for the optimal curve |
Δ |
-807478417968750000 = -1 · 24 · 32 · 514 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,228119,-10588694] |
[a1,a2,a3,a4,a6] |
j |
82051439184739844096/50467401123046875 |
j-invariant |
L |
1.9616098340593 |
L(r)(E,1)/r! |
Ω |
0.16346748617161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880ce1 33660g1 56100x1 123420e1 |
Quadratic twists by: -4 -3 5 -11 |