Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27552u |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-273443240448 = -1 · 29 · 33 · 7 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1456,13752] |
[a1,a2,a3,a4,a6] |
Generators |
[7:156:1] |
Generators of the group modulo torsion |
j |
666253590904/534068829 |
j-invariant |
L |
5.8886540083728 |
L(r)(E,1)/r! |
Ω |
0.63044183869867 |
Real period |
R |
3.113506352163 |
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 |
27552b2 55104a3 82656m2 |
Quadratic twists by: -4 8 -3 |