Atkin-Lehner |
11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39083a |
Isogeny class |
Conductor |
39083 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
-124244857 = -1 · 113 · 173 · 19 |
Discriminant |
Eigenvalues |
-1 0 0 2 11+ 5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-595,5756] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-13:1] |
Generators of the group modulo torsion |
j |
-17474794875/93347 |
j-invariant |
L |
3.3864562913849 |
L(r)(E,1)/r! |
Ω |
1.8679583911339 |
Real period |
R |
0.90645924113259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39083b1 |
Quadratic twists by: -11 |