Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032t |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24982157139968 = 213 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 2 2 7- -6 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10992,-369088] |
[a1,a2,a3,a4,a6] |
Generators |
[128:552:1] |
Generators of the group modulo torsion |
j |
304821217/51842 |
j-invariant |
L |
7.9181781330138 |
L(r)(E,1)/r! |
Ω |
0.47166318553794 |
Real period |
R |
2.0984725901342 |
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 |
2254g2 72128bq2 2576k2 |
Quadratic twists by: -4 8 -7 |