Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984bg |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-122743150470660096 = -1 · 215 · 310 · 13 · 474 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20229,-16819670] |
[a1,a2,a3,a4,a6] |
j |
306591054407/41106432744 |
j-invariant |
L |
1.2517236714692 |
L(r)(E,1)/r! |
Ω |
0.15646546170293 |
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 |
10998m4 29328o3 |
Quadratic twists by: -4 -3 |