Atkin-Lehner |
3- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
14235k |
Isogeny class |
Conductor |
14235 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-39513868875 = -1 · 33 · 53 · 133 · 732 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-395,9899] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:109:1] |
Generators of the group modulo torsion |
j |
-6833040818176/39513868875 |
j-invariant |
L |
4.7443328168277 |
L(r)(E,1)/r! |
Ω |
0.9932043287047 |
Real period |
R |
0.79613239016908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42705h1 71175a1 |
Quadratic twists by: -3 5 |