Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440k |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2016584760960000 = 210 · 312 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113763,-14610062] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:374:1] |
Generators of the group modulo torsion |
j |
218121931923844/2701400625 |
j-invariant |
L |
6.3183280824264 |
L(r)(E,1)/r! |
Ω |
0.26015044635613 |
Real period |
R |
3.035901038695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999921 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720bi2 18480x2 |
Quadratic twists by: -4 -3 |