Atkin-Lehner |
2+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52142f |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
2906290796 = 22 · 293 · 313 |
Discriminant |
Eigenvalues |
2+ 2 -1 4 2 4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-568,-4764] |
[a1,a2,a3,a4,a6] |
j |
833237621/119164 |
j-invariant |
L |
3.9481336236168 |
L(r)(E,1)/r! |
Ω |
0.98703340575305 |
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 |
52142s1 |
Quadratic twists by: 29 |