Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cp |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
90720975537561600 = 213 · 36 · 52 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-506883,-138144382] |
[a1,a2,a3,a4,a6] |
Generators |
[-391:520:1] |
Generators of the group modulo torsion |
j |
4823468134087681/30382271150 |
j-invariant |
L |
4.493355138403 |
L(r)(E,1)/r! |
Ω |
0.17899356368528 |
Real period |
R |
3.1379306648393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930h4 6160k4 |
Quadratic twists by: -4 -3 |