Atkin-Lehner |
2+ 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650b |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
121069335937500 = 22 · 32 · 514 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2645125,1654734625] |
[a1,a2,a3,a4,a6] |
Generators |
[939:-449:1] [940:-395:1] |
Generators of the group modulo torsion |
j |
130991327451156528721/7748437500 |
j-invariant |
L |
6.9809511388149 |
L(r)(E,1)/r! |
Ω |
0.44372687165827 |
Real period |
R |
3.9331352148633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530bb4 |
Quadratic twists by: 5 |