Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6552r |
Isogeny class |
Conductor |
6552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
458535168 = 28 · 39 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,8370] |
[a1,a2,a3,a4,a6] |
j |
10536048/91 |
j-invariant |
L |
3.3494460821512 |
L(r)(E,1)/r! |
Ω |
1.6747230410756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13104g1 52416z1 6552e1 45864z1 |
Quadratic twists by: -4 8 -3 -7 |