Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2880bb |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15479341056000 = 221 · 310 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3072108,-2072539568] |
[a1,a2,a3,a4,a6] |
Generators |
[2122198960:-471846682404:42875] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
3.4325254997179 |
L(r)(E,1)/r! |
Ω |
0.11403559554656 |
Real period |
R |
15.050237091613 |
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 |
2880n8 720j7 960o8 14400ef7 |
Quadratic twists by: -4 8 -3 5 |