Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224o |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-30071097298944 = -1 · 212 · 32 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -6 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5183,-223055] |
[a1,a2,a3,a4,a6] |
j |
778688/1521 |
j-invariant |
L |
1.3808703352085 |
L(r)(E,1)/r! |
Ω |
0.34521758380211 |
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 |
16224j2 32448bl1 48672t2 1248a2 |
Quadratic twists by: -4 8 -3 13 |