Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
2880p |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
358318080 = 215 · 37 · 5 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5772,168784] |
[a1,a2,a3,a4,a6] |
Generators |
[45:13:1] |
Generators of the group modulo torsion |
j |
890277128/15 |
j-invariant |
L |
3.4868903981081 |
L(r)(E,1)/r! |
Ω |
1.5603313790216 |
Real period |
R |
2.2347114497527 |
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 |
2880q3 1440j3 960f3 14400v4 |
Quadratic twists by: -4 8 -3 5 |