Atkin-Lehner |
2+ 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19176c |
Isogeny class |
Conductor |
19176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
778699008 = 28 · 34 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-396,2592] |
[a1,a2,a3,a4,a6] |
j |
26894628304/3041793 |
j-invariant |
L |
6.1732180872682 |
L(r)(E,1)/r! |
Ω |
1.543304521817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38352b1 57528h1 |
Quadratic twists by: -4 -3 |