Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
2256p |
Isogeny class |
Conductor |
2256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
66296082825216 = 215 · 316 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34272,-2421900] |
[a1,a2,a3,a4,a6] |
j |
1086913000972513/16185567096 |
j-invariant |
L |
2.8096056450846 |
L(r)(E,1)/r! |
Ω |
0.35120070563557 |
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 |
282a4 9024bm3 6768o4 56400bb3 |
Quadratic twists by: -4 8 -3 5 |