Atkin-Lehner |
2+ 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442u |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
25025974272 = 212 · 33 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 2 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1031,-10294] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:54:1] [-12:25:1] |
Generators of the group modulo torsion |
j |
55088885125/11390976 |
j-invariant |
L |
9.9567549952107 |
L(r)(E,1)/r! |
Ω |
0.85489205608712 |
Real period |
R |
3.8822659638433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104442bn1 |
Quadratic twists by: 13 |