Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2880z |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
671846400 = 212 · 38 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,448] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:40:1] |
Generators of the group modulo torsion |
j |
438976/225 |
j-invariant |
L |
3.091784410267 |
L(r)(E,1)/r! |
Ω |
1.4237629786045 |
Real period |
R |
1.0857791840105 |
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 |
2880y2 1440k1 960n2 14400dr2 |
Quadratic twists by: -4 8 -3 5 |