Atkin-Lehner |
2+ 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
82656m |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
2801552878656 = 26 · 312 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3909,-48620] |
[a1,a2,a3,a4,a6] |
Generators |
[7568:658350:1] |
Generators of the group modulo torsion |
j |
141583688128/60047001 |
j-invariant |
L |
8.6106411158841 |
L(r)(E,1)/r! |
Ω |
0.62719058216736 |
Real period |
R |
6.8644534515161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000331 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82656bk1 27552u1 |
Quadratic twists by: -4 -3 |