Atkin-Lehner |
2+ 3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bk |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
5386752 |
Modular degree for the optimal curve |
Δ |
6478724359810080000 = 28 · 321 · 54 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18477201,30568702948] |
[a1,a2,a3,a4,a6] |
Generators |
[-613:204426:1] |
Generators of the group modulo torsion |
j |
1116226196362568222265625/10365958975696128 |
j-invariant |
L |
6.2712579114656 |
L(r)(E,1)/r! |
Ω |
0.21434227143426 |
Real period |
R |
0.11610376204034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950bt1 |
Quadratic twists by: 5 |