Atkin-Lehner |
2- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46144j |
Isogeny class |
Conductor |
46144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17034149888 = 215 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 2 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1004,-10512] |
[a1,a2,a3,a4,a6] |
j |
3415662216/519841 |
j-invariant |
L |
3.4272127456329 |
L(r)(E,1)/r! |
Ω |
0.8568031864307 |
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 |
46144t2 23072c2 |
Quadratic twists by: -4 8 |