Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536g |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-422552567808 = -1 · 215 · 36 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1407,-24255] |
[a1,a2,a3,a4,a6] |
j |
9393931000/12895281 |
j-invariant |
L |
2.0083696269743 |
L(r)(E,1)/r! |
Ω |
0.50209240674362 |
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 |
25536bl2 12768t2 76608bo2 |
Quadratic twists by: -4 8 -3 |