Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
82656y |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
14823031104 = 26 · 39 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-621,1080] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:82:1] |
Generators of the group modulo torsion |
j |
21024576/11767 |
j-invariant |
L |
2.8104621259072 |
L(r)(E,1)/r! |
Ω |
1.0783733286361 |
Real period |
R |
1.3031025746229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82656z1 82656a1 |
Quadratic twists by: -4 -3 |