Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33072v |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-589411300608 = -1 · 28 · 32 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1812,-21384] |
[a1,a2,a3,a4,a6] |
j |
2568731006000/2302387893 |
j-invariant |
L |
2.0156385814843 |
L(r)(E,1)/r! |
Ω |
0.50390964537108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8268a2 99216ba2 |
Quadratic twists by: -4 -3 |