Atkin-Lehner |
3+ 5- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23055c |
Isogeny class |
Conductor |
23055 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-562288395 = -1 · 3 · 5 · 294 · 53 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 4 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,105,-1099] |
[a1,a2,a3,a4,a6] |
j |
126808653824/562288395 |
j-invariant |
L |
1.6551007328478 |
L(r)(E,1)/r! |
Ω |
0.82755036642393 |
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 |
69165n1 115275m1 |
Quadratic twists by: -3 5 |