Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104664k |
Isogeny class |
Conductor |
104664 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
255335119312896 = 211 · 35 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17264,-419616] |
[a1,a2,a3,a4,a6] |
Generators |
[-550:5349:8] |
Generators of the group modulo torsion |
j |
48201314/21627 |
j-invariant |
L |
11.817521280624 |
L(r)(E,1)/r! |
Ω |
0.4343315583145 |
Real period |
R |
5.4417050879341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104664j1 |
Quadratic twists by: -7 |