Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560x |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-4792579522560 = -1 · 226 · 33 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,597,105178] |
[a1,a2,a3,a4,a6] |
j |
212776173/43335680 |
j-invariant |
L |
2.3813391303511 |
L(r)(E,1)/r! |
Ω |
0.59533478258777 |
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 |
2070l1 66240dw1 16560be1 82800cq1 |
Quadratic twists by: -4 8 -3 5 |