Atkin-Lehner |
3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
285c |
Isogeny class |
Conductor |
285 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
456890625 = 34 · 56 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-382,-2849] |
[a1,a2,a3,a4,a6] |
j |
6189976379881/456890625 |
j-invariant |
L |
1.6268486353037 |
L(r)(E,1)/r! |
Ω |
1.0845657568691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4560bd2 18240bj2 855a2 1425h2 |
Quadratic twists by: -4 8 -3 5 |