Atkin-Lehner |
2- 3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
45264j |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
11587584 = 212 · 3 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -4 0 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,-227] |
[a1,a2,a3,a4,a6] |
j |
16777216/2829 |
j-invariant |
L |
1.5888254567465 |
L(r)(E,1)/r! |
Ω |
1.588825456948 |
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 |
2829f1 |
Quadratic twists by: -4 |