Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440er |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2973575225121177600 = 222 · 314 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-879987,306710066] |
[a1,a2,a3,a4,a6] |
Generators |
[-823:21760:1] |
Generators of the group modulo torsion |
j |
25238585142450289/995844326400 |
j-invariant |
L |
6.7618898431867 |
L(r)(E,1)/r! |
Ω |
0.25142819273847 |
Real period |
R |
3.3617400705714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999772 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930n2 18480ca2 |
Quadratic twists by: -4 -3 |