Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288bi |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-43227202367232 = -1 · 28 · 32 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8732,-35008] |
[a1,a2,a3,a4,a6] |
Generators |
[836:24336:1] |
Generators of the group modulo torsion |
j |
59582000/34983 |
j-invariant |
L |
8.9736731774755 |
L(r)(E,1)/r! |
Ω |
0.37714015974988 |
Real period |
R |
2.9742500733301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176e1 |
Quadratic twists by: 13 |