Atkin-Lehner |
2- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33728k |
Isogeny class |
Conductor |
33728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-539648 = -1 · 210 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 1 0 -2 -3 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-873,-10225] |
[a1,a2,a3,a4,a6] |
j |
-71938912000/527 |
j-invariant |
L |
0.43911104285717 |
L(r)(E,1)/r! |
Ω |
0.43911104286168 |
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 |
33728d1 8432h1 |
Quadratic twists by: -4 8 |