Atkin-Lehner |
2+ 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950bg |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
-562117510080000 = -1 · 29 · 33 · 54 · 77 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-139276,-20050102] |
[a1,a2,a3,a4,a6] |
j |
-478044216587473225/899388016128 |
j-invariant |
L |
2.5946046687268 |
L(r)(E,1)/r! |
Ω |
0.12355260166327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950bm1 |
Quadratic twists by: 5 |