Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440er |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
495759758376960000 = 217 · 310 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13943667,20040705074] |
[a1,a2,a3,a4,a6] |
Generators |
[-3287:174240:1] |
Generators of the group modulo torsion |
j |
100407751863770656369/166028940000 |
j-invariant |
L |
6.7618898431867 |
L(r)(E,1)/r! |
Ω |
0.25142819273847 |
Real period |
R |
1.6808700352857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930n3 18480ca3 |
Quadratic twists by: -4 -3 |