Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
27888n |
Isogeny class |
Conductor |
27888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7294006453606371072 = 28 · 36 · 77 · 834 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4330228,-3464402900] |
[a1,a2,a3,a4,a6] |
j |
35076490851064314706000/28492212709399887 |
j-invariant |
L |
0.10466296472273 |
L(r)(E,1)/r! |
Ω |
0.10466296472223 |
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 |
6972c2 111552cx2 83664bp2 |
Quadratic twists by: -4 8 -3 |