Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656k |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-22053824260780032 = -1 · 212 · 313 · 72 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -3 -4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4846008,4106056880] |
[a1,a2,a3,a4,a6] |
j |
-4214913012819053056/7385781123 |
j-invariant |
L |
2.612188494673 |
L(r)(E,1)/r! |
Ω |
0.32652356563308 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656w1 27552r1 |
Quadratic twists by: -4 -3 |