Atkin-Lehner |
2+ 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
27192a |
Isogeny class |
Conductor |
27192 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10131598236672 = 210 · 38 · 114 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5464,24992] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:84:1] |
Generators of the group modulo torsion |
j |
17621193001828/9894138903 |
j-invariant |
L |
6.7336863899405 |
L(r)(E,1)/r! |
Ω |
0.62524628132629 |
Real period |
R |
2.6924136100645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54384a4 81576k4 |
Quadratic twists by: -4 -3 |