Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856by |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-23141376 = -1 · 210 · 36 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -2 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,-216] |
[a1,a2,a3,a4,a6] |
Generators |
[21:99:1] |
Generators of the group modulo torsion |
j |
6912/31 |
j-invariant |
L |
4.5859139057577 |
L(r)(E,1)/r! |
Ω |
1.079180296598 |
Real period |
R |
2.1247209202274 |
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 |
17856bj1 4464e1 1984g1 |
Quadratic twists by: -4 8 -3 |