Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11280o |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1272384000000 = 212 · 32 · 56 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5960,-166608] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:90:1] |
Generators of the group modulo torsion |
j |
5717095008841/310640625 |
j-invariant |
L |
4.1055250650594 |
L(r)(E,1)/r! |
Ω |
0.54519159519047 |
Real period |
R |
1.2550710310764 |
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 |
705f2 45120cm2 33840bw2 56400cv2 |
Quadratic twists by: -4 8 -3 5 |