Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200cj |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
6088608000 = 28 · 38 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3855,92050] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-54:1] |
Generators of the group modulo torsion |
j |
271593488/261 |
j-invariant |
L |
5.8916934959994 |
L(r)(E,1)/r! |
Ω |
1.3360787234863 |
Real period |
R |
0.55121129769783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400cd1 17400p1 52200bd1 |
Quadratic twists by: -4 -3 5 |