Atkin-Lehner |
3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9945a |
Isogeny class |
Conductor |
9945 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-4806687015 = -1 · 39 · 5 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,322,-2564] |
[a1,a2,a3,a4,a6] |
j |
188132517/244205 |
j-invariant |
L |
1.4632815059454 |
L(r)(E,1)/r! |
Ω |
0.73164075297271 |
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 |
9945c1 49725c1 129285m1 |
Quadratic twists by: -3 5 13 |