Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584co |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-143061184 = -1 · 26 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 2 3 7- 3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150789,-22487149] |
[a1,a2,a3,a4,a6] |
Generators |
[14779684453066408609389769739564117501070943940387241225405670:119592534684947998669360746142921180754179811410882072773453693:30846459408972700467215576038374610266891690398928249427625] |
Generators of the group modulo torsion |
j |
-50357871050752/19 |
j-invariant |
L |
11.67029283601 |
L(r)(E,1)/r! |
Ω |
0.12113702502486 |
Real period |
R |
96.339602475913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584bn3 14896bg3 1216q3 |
Quadratic twists by: -4 8 -7 |