Atkin-Lehner |
2- 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992bk |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1041051648 = -1 · 212 · 3 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 1 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-229,2125] |
[a1,a2,a3,a4,a6] |
Generators |
[12:31:1] |
Generators of the group modulo torsion |
j |
-325660672/254163 |
j-invariant |
L |
4.1199468964203 |
L(r)(E,1)/r! |
Ω |
1.429025737396 |
Real period |
R |
2.8830459709147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187k1 |
Quadratic twists by: -4 |