Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6552w |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1375605504 = -1 · 28 · 310 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 2 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204,-1388] |
[a1,a2,a3,a4,a6] |
j |
5030912/7371 |
j-invariant |
L |
3.224336629483 |
L(r)(E,1)/r! |
Ω |
0.80608415737075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13104p1 52416di1 2184g1 45864bx1 |
Quadratic twists by: -4 8 -3 -7 |