Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224v |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
59311828992 = 212 · 3 · 136 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2929,-60865] |
[a1,a2,a3,a4,a6] |
Generators |
[82:507:1] |
Generators of the group modulo torsion |
j |
140608/3 |
j-invariant |
L |
5.6309989111602 |
L(r)(E,1)/r! |
Ω |
0.64978695053839 |
Real period |
R |
2.1664789153178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16224e3 32448e1 48672r3 96a2 |
Quadratic twists by: -4 8 -3 13 |