Atkin-Lehner |
2+ 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
82656l |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-87853574592 = -1 · 26 · 314 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,-13984] |
[a1,a2,a3,a4,a6] |
Generators |
[3820:20162:125] |
Generators of the group modulo torsion |
j |
125000000/1883007 |
j-invariant |
L |
7.4681720340369 |
L(r)(E,1)/r! |
Ω |
0.52578464558982 |
Real period |
R |
7.1019305097977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82656x1 27552k1 |
Quadratic twists by: -4 -3 |