Atkin-Lehner |
2- 3- 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422x |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
174753990432 = 25 · 36 · 72 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-124473,16892505] |
[a1,a2,a3,a4,a6] |
Generators |
[174:627:1] |
Generators of the group modulo torsion |
j |
213279640881772452625/174753990432 |
j-invariant |
L |
8.7268750169086 |
L(r)(E,1)/r! |
Ω |
0.8463778185352 |
Real period |
R |
0.17184750564494 |
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 |
49266k2 114954bm2 |
Quadratic twists by: -3 -7 |