Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440dl |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3400911942465945600 = 216 · 310 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-467283,-85108718] |
[a1,a2,a3,a4,a6] |
j |
3778993806976081/1138958528400 |
j-invariant |
L |
2.9898164689776 |
L(r)(E,1)/r! |
Ω |
0.18686352938595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930g4 18480dg4 |
Quadratic twists by: -4 -3 |