Atkin-Lehner |
13+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108953a |
Isogeny class |
Conductor |
108953 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
58321025254817 = 132 · 177 · 292 |
Discriminant |
Eigenvalues |
1 0 0 2 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87332,-9905037] |
[a1,a2,a3,a4,a6] |
j |
3051779837625/2416193 |
j-invariant |
L |
1.1109292557006 |
L(r)(E,1)/r! |
Ω |
0.2777324409319 |
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 |
6409a1 |
Quadratic twists by: 17 |