Atkin-Lehner |
2+ 3- 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
82170t |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-12887061612480 = -1 · 26 · 312 · 5 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5526,68148] |
[a1,a2,a3,a4,a6] |
Generators |
[1509:57921:1] |
Generators of the group modulo torsion |
j |
25596737654111/17677725120 |
j-invariant |
L |
5.5980658971421 |
L(r)(E,1)/r! |
Ω |
0.44822603369722 |
Real period |
R |
6.244690715228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27390bd1 |
Quadratic twists by: -3 |