Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224bf |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
4303400887296 = 210 · 36 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -3 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251076,48423368] |
[a1,a2,a3,a4,a6] |
j |
406749952 |
j-invariant |
L |
2.0187130137277 |
L(r)(E,1)/r! |
Ω |
0.67290433790935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224ew2 1764e2 3136b2 28224cp2 |
Quadratic twists by: -4 8 -3 -7 |