Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856ch |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-15579857547869184 = -1 · 210 · 312 · 315 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 -4 2 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33684,-5513848] |
[a1,a2,a3,a4,a6] |
j |
5661965297408/20870651079 |
j-invariant |
L |
1.9969054083474 |
L(r)(E,1)/r! |
Ω |
0.19969054083474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856u1 4464l1 5952z1 |
Quadratic twists by: -4 8 -3 |