Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152w |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
456644345462784 = 226 · 32 · 293 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 6 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23840,-966912] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:174:1] |
Generators of the group modulo torsion |
j |
365848041353761/111485435904 |
j-invariant |
L |
6.6637048236319 |
L(r)(E,1)/r! |
Ω |
0.3933135439132 |
Real period |
R |
1.4118729036839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5394l1 129456be1 |
Quadratic twists by: -4 -3 |