Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17856ce |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11848384512 = 219 · 36 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190476,31996944] |
[a1,a2,a3,a4,a6] |
j |
3999236143617/62 |
j-invariant |
L |
1.8105659166419 |
L(r)(E,1)/r! |
Ω |
0.90528295832093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17856q3 4464x4 1984j3 |
Quadratic twists by: -4 8 -3 |