Atkin-Lehner |
2+ 3- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422m |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-52675659022033152 = -1 · 28 · 34 · 710 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49270,11813384] |
[a1,a2,a3,a4,a6] |
Generators |
[133:2693:1] |
Generators of the group modulo torsion |
j |
-13226920033634804953/52675659022033152 |
j-invariant |
L |
5.1022851485357 |
L(r)(E,1)/r! |
Ω |
0.30968237615382 |
Real period |
R |
2.0594831759176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49266bm2 114954e2 |
Quadratic twists by: -3 -7 |