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 |
78092066304 = 29 · 312 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3304,-72964] |
[a1,a2,a3,a4,a6] |
Generators |
[107:900:1] |
Generators of the group modulo torsion |
j |
7793011291976/152523567 |
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 |
27552b3 55104a4 82656m3 |
Quadratic twists by: -4 8 -3 |