Atkin-Lehner |
2- 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20748u |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
18704379762432 = 28 · 36 · 74 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-222188,40236996] |
[a1,a2,a3,a4,a6] |
j |
4738572182590594000/73063983447 |
j-invariant |
L |
3.7771616132256 |
L(r)(E,1)/r! |
Ω |
0.62952693553761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
82992br2 62244bh2 |
Quadratic twists by: -4 -3 |