Atkin-Lehner |
2+ 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224g |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-247649383213959168 = -1 · 211 · 310 · 132 · 594 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29091,-24018946] |
[a1,a2,a3,a4,a6] |
Generators |
[234248:3914001:512] |
Generators of the group modulo torsion |
j |
-1823652903746/165874554729 |
j-invariant |
L |
5.7529747798798 |
L(r)(E,1)/r! |
Ω |
0.13791443888132 |
Real period |
R |
5.2142607642386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110448i3 18408h4 |
Quadratic twists by: -4 -3 |