Atkin-Lehner |
2- 3+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9588a |
Isogeny class |
Conductor |
9588 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
68442672384 = 28 · 39 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 1 -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17637,-895599] |
[a1,a2,a3,a4,a6] |
j |
2370186473832448/267354189 |
j-invariant |
L |
0.8285605644788 |
L(r)(E,1)/r! |
Ω |
0.4142802822394 |
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 |
38352r1 28764c1 |
Quadratic twists by: -4 -3 |