Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560bt |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2554485984000 = -1 · 28 · 38 · 53 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12432,-539044] |
[a1,a2,a3,a4,a6] |
j |
-1138621087744/13687875 |
j-invariant |
L |
2.7108448393348 |
L(r)(E,1)/r! |
Ω |
0.22590373661124 |
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 |
4140h2 66240ek2 5520o2 82800dx2 |
Quadratic twists by: -4 8 -3 5 |