Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552s |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
5416446672 = 24 · 312 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1830,-29923] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:9:1] |
Generators of the group modulo torsion |
j |
58107136000/464373 |
j-invariant |
L |
3.8607423219264 |
L(r)(E,1)/r! |
Ω |
0.73029123466762 |
Real period |
R |
1.3216447557677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104x1 52416bt1 2184a1 45864bo1 |
Quadratic twists by: -4 8 -3 -7 |