Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1584c |
Isogeny class |
Conductor |
1584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24634368 = 210 · 37 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6339,194258] |
[a1,a2,a3,a4,a6] |
j |
37736227588/33 |
j-invariant |
L |
1.7761279039605 |
L(r)(E,1)/r! |
Ω |
1.7761279039605 |
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 |
792e3 6336ck4 528b3 39600t4 |
Quadratic twists by: -4 8 -3 5 |