Atkin-Lehner |
2- 3- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8874j |
Isogeny class |
Conductor |
8874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-415462932 = -1 · 22 · 36 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 5 0 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,85,911] |
[a1,a2,a3,a4,a6] |
j |
94196375/569908 |
j-invariant |
L |
4.8646706219092 |
L(r)(E,1)/r! |
Ω |
1.2161676554773 |
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 |
70992w1 986a1 |
Quadratic twists by: -4 -3 |