Atkin-Lehner |
3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11661g |
Isogeny class |
Conductor |
11661 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1042505061 = 3 · 134 · 233 |
Discriminant |
Eigenvalues |
-2 3+ -1 -4 -5 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1746,28628] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:149:1] [22:19:1] |
Generators of the group modulo torsion |
j |
20622045184/36501 |
j-invariant |
L |
2.4590999103583 |
L(r)(E,1)/r! |
Ω |
1.5567807209924 |
Real period |
R |
0.17551175942024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34983d1 11661f1 |
Quadratic twists by: -3 13 |