Atkin-Lehner |
2+ 3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bj |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
2560666500 = 22 · 33 · 53 · 74 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-386,1568] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:61:1] |
Generators of the group modulo torsion |
j |
50694081101/20485332 |
j-invariant |
L |
6.299437883833 |
L(r)(E,1)/r! |
Ω |
1.3102542738078 |
Real period |
R |
0.40064983405682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82950cg1 |
Quadratic twists by: 5 |