Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cb |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.0798046778815E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14528536,-5202495180] |
[a1,a2,a3,a4,a6] |
Generators |
[862:89232:1] |
Generators of the group modulo torsion |
j |
17154149157653327/10519679024712 |
j-invariant |
L |
7.9324449030877 |
L(r)(E,1)/r! |
Ω |
0.057924804370084 |
Real period |
R |
2.8529965818769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154i4 6864y4 |
Quadratic twists by: -4 13 |