Atkin-Lehner |
2+ 3- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9222g |
Isogeny class |
Conductor |
9222 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
23328 |
Modular degree for the optimal curve |
Δ |
-10787654094264 = -1 · 23 · 39 · 293 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4612,198362] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:278:1] |
Generators of the group modulo torsion |
j |
-10845666278753977/10787654094264 |
j-invariant |
L |
4.5025366379276 |
L(r)(E,1)/r! |
Ω |
0.65601330004445 |
Real period |
R |
1.1439139617094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
73776k1 27666k1 |
Quadratic twists by: -4 -3 |