Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688dn |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1227478692593664 = 216 · 32 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60384,-5477004] |
[a1,a2,a3,a4,a6] |
Generators |
[795:21204:1] |
Generators of the group modulo torsion |
j |
50529889873/2547216 |
j-invariant |
L |
5.8903322358443 |
L(r)(E,1)/r! |
Ω |
0.30551047332719 |
Real period |
R |
4.8200739009837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5586w2 6384u2 |
Quadratic twists by: -4 -7 |