Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672w |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
65713935085568 = 212 · 78 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18044,-847488] |
[a1,a2,a3,a4,a6] |
j |
158621560987968/16043441183 |
j-invariant |
L |
1.6584370364375 |
L(r)(E,1)/r! |
Ω |
0.41460925906067 |
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 |
56672y3 113344cr1 |
Quadratic twists by: -4 8 |