Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bk |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1245548408832 = -1 · 212 · 32 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2648,10672] |
[a1,a2,a3,a4,a6] |
j |
103823/63 |
j-invariant |
L |
2.1200528117601 |
L(r)(E,1)/r! |
Ω |
0.53001320318372 |
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 |
3549c1 336e1 |
Quadratic twists by: -4 13 |