Atkin-Lehner |
3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11661h |
Isogeny class |
Conductor |
11661 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
506568777741 = 33 · 138 · 23 |
Discriminant |
Eigenvalues |
0 3- 3 2 3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2929,49534] |
[a1,a2,a3,a4,a6] |
j |
3407872/621 |
j-invariant |
L |
3.5370659192974 |
L(r)(E,1)/r! |
Ω |
0.88426647982436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
34983g1 11661i1 |
Quadratic twists by: -3 13 |