Atkin-Lehner |
2- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344y |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-6079168 = -1 · 26 · 43 · 472 |
Discriminant |
Eigenvalues |
2- 0 0 -4 -5 -5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10,-118] |
[a1,a2,a3,a4,a6] |
Generators |
[13:47:1] |
Generators of the group modulo torsion |
j |
1728000/94987 |
j-invariant |
L |
1.9793853214946 |
L(r)(E,1)/r! |
Ω |
1.1423436693811 |
Real period |
R |
0.86637033388995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999443113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344v1 64672a1 |
Quadratic twists by: -4 8 |