Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200cl |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1226178000 = 24 · 36 · 53 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12630,546325] |
[a1,a2,a3,a4,a6] |
Generators |
[69:58:1] |
Generators of the group modulo torsion |
j |
152818608128/841 |
j-invariant |
L |
6.4454033910798 |
L(r)(E,1)/r! |
Ω |
1.3631135905562 |
Real period |
R |
1.1821104704171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400ci1 5800e1 52200bf1 |
Quadratic twists by: -4 -3 5 |