Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040do |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
191262261657600 = 214 · 34 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82385,-9104817] |
[a1,a2,a3,a4,a6] |
j |
32082281296/99225 |
j-invariant |
L |
2.2547989086286 |
L(r)(E,1)/r! |
Ω |
0.28184986362983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040fh2 5880t2 6720e2 |
Quadratic twists by: -4 8 -7 |