Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488cf |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-20168966455296 = -1 · 214 · 3 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 -5 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6165,287373] |
[a1,a2,a3,a4,a6] |
j |
-65536/51 |
j-invariant |
L |
1.2555798354227 |
L(r)(E,1)/r! |
Ω |
0.62778991661163 |
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 |
55488bf1 13872bg1 3264bb1 |
Quadratic twists by: -4 8 17 |