Atkin-Lehner |
3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11661k |
Isogeny class |
Conductor |
11661 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-168856259247 = -1 · 32 · 138 · 23 |
Discriminant |
Eigenvalues |
1 3- 4 -2 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4,-19771] |
[a1,a2,a3,a4,a6] |
j |
-1/34983 |
j-invariant |
L |
3.7345461498287 |
L(r)(E,1)/r! |
Ω |
0.46681826872859 |
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 |
34983o1 897f1 |
Quadratic twists by: -3 13 |