Atkin-Lehner |
3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1287b |
Isogeny class |
Conductor |
1287 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11495735867187 = 39 · 112 · 136 |
Discriminant |
Eigenvalues |
1 3+ -2 -2 11- 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16188,779849] |
[a1,a2,a3,a4,a6] |
j |
23835655373139/584043889 |
j-invariant |
L |
1.429982381301 |
L(r)(E,1)/r! |
Ω |
0.71499119065051 |
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 |
20592q2 82368d2 1287a2 32175f2 |
Quadratic twists by: -4 8 -3 5 |