Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33856a |
Isogeny class |
Conductor |
33856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-223138640494592 = -1 · 216 · 237 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 6 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10580,-584016] |
[a1,a2,a3,a4,a6] |
j |
13500/23 |
j-invariant |
L |
0.58830662281076 |
L(r)(E,1)/r! |
Ω |
0.29415331141173 |
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 |
33856x1 4232a1 1472c1 |
Quadratic twists by: -4 8 -23 |