Atkin-Lehner |
2- 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950bm |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3084480 |
Modular degree for the optimal curve |
Δ |
-8783086095000000000 = -1 · 29 · 33 · 510 · 77 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 5 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3481888,-2506262719] |
[a1,a2,a3,a4,a6] |
j |
-478044216587473225/899388016128 |
j-invariant |
L |
4.4756066278337 |
L(r)(E,1)/r! |
Ω |
0.055254403223205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950bg1 |
Quadratic twists by: 5 |