Atkin-Lehner |
13- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9269d |
Isogeny class |
Conductor |
9269 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
9269 = 13 · 23 · 31 |
Discriminant |
Eigenvalues |
0 -2 1 3 2 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] |
Generators of the group modulo torsion |
j |
16777216/9269 |
j-invariant |
L |
3.0499227423619 |
L(r)(E,1)/r! |
Ω |
3.3634257242331 |
Real period |
R |
0.90679057378541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83421k1 120497e1 |
Quadratic twists by: -3 13 |