Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440dr |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
481988653977600 = 212 · 38 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38883,2755618] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:2376:1] |
Generators of the group modulo torsion |
j |
2177286259681/161417025 |
j-invariant |
L |
6.5703821422539 |
L(r)(E,1)/r! |
Ω |
0.51382617960125 |
Real period |
R |
0.79919805606342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3465e2 18480df2 |
Quadratic twists by: -4 -3 |