Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656w |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[48587080:14963331285:512] |
Generators of the group modulo torsion |
j |
-4214913012819053056/7385781123 |
j-invariant |
L |
9.4742296589089 |
L(r)(E,1)/r! |
Ω |
0.05087723274737 |
Real period |
R |
11.638591992872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656k1 27552bd1 |
Quadratic twists by: -4 -3 |