Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856k |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-3486541257728 = -1 · 210 · 237 |
Discriminant |
Eigenvalues |
2+ -1 0 -2 0 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3527,-40831] |
[a1,a2,a3,a4,a6] |
j |
32000/23 |
j-invariant |
L |
1.7803894220389 |
L(r)(E,1)/r! |
Ω |
0.44509735551236 |
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 |
33856be1 2116c1 1472b1 |
Quadratic twists by: -4 8 -23 |