Atkin-Lehner |
2+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16744a |
Isogeny class |
Conductor |
16744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
-3750656 = -1 · 28 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 3 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,91] |
[a1,a2,a3,a4,a6] |
Generators |
[3:14:1] |
Generators of the group modulo torsion |
j |
5030912/14651 |
j-invariant |
L |
4.2558136732341 |
L(r)(E,1)/r! |
Ω |
1.7503730994493 |
Real period |
R |
0.30392189489295 |
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 |
33488g1 117208h1 |
Quadratic twists by: -4 -7 |