Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472bh |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
70727220847116288 = 216 · 33 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150977,18553887] |
[a1,a2,a3,a4,a6] |
Generators |
[397:4620:1] |
Generators of the group modulo torsion |
j |
5807363790481348/1079211743883 |
j-invariant |
L |
7.3288146113922 |
L(r)(E,1)/r! |
Ω |
0.32921538794969 |
Real period |
R |
3.7102430402961 |
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 |
17472br3 2184j4 52416cp3 122304cc3 |
Quadratic twists by: -4 8 -3 -7 |