Atkin-Lehner |
2- 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950ci |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
2123919221760000000 = 216 · 37 · 57 · 74 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-554463,-142652583] |
[a1,a2,a3,a4,a6] |
Generators |
[-378:-3411:1] |
Generators of the group modulo torsion |
j |
1206483665501332009/135930830192640 |
j-invariant |
L |
11.935180409892 |
L(r)(E,1)/r! |
Ω |
0.17623915224155 |
Real period |
R |
0.30232814170951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590b1 |
Quadratic twists by: 5 |