Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bt |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4363753881600 = 226 · 32 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87041,-9854559] |
[a1,a2,a3,a4,a6] |
Generators |
[25156:260015:64] |
Generators of the group modulo torsion |
j |
278202094583041/16646400 |
j-invariant |
L |
4.2745513909651 |
L(r)(E,1)/r! |
Ω |
0.27795195314742 |
Real period |
R |
7.6893710271895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16320bb2 4080be2 48960fd2 81600hu2 |
Quadratic twists by: -4 8 -3 5 |