Atkin-Lehner |
2- 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81328n |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-294477627392 = -1 · 218 · 132 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 -2 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1661,-1662] |
[a1,a2,a3,a4,a6] |
Generators |
[14:156:1] |
Generators of the group modulo torsion |
j |
123729330087/71893952 |
j-invariant |
L |
5.967154848535 |
L(r)(E,1)/r! |
Ω |
0.57580709480832 |
Real period |
R |
2.5907786234732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10166a1 |
Quadratic twists by: -4 |