Atkin-Lehner |
3- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
44055b |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
980105438232421875 = 38 · 516 · 11 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-496170,125931325] |
[a1,a2,a3,a4,a6] |
j |
18530544548528975521/1344451904296875 |
j-invariant |
L |
0.54498373494002 |
L(r)(E,1)/r! |
Ω |
0.27249186769002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14685f3 |
Quadratic twists by: -3 |