Atkin-Lehner |
2- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320ba |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
476873113600 = 214 · 52 · 132 · 832 |
Discriminant |
Eigenvalues |
2- 0 5- 4 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57547,-5313414] |
[a1,a2,a3,a4,a6] |
Generators |
[-2087263480441:-27803725950:15124197817] |
Generators of the group modulo torsion |
j |
5145550309970721/116424100 |
j-invariant |
L |
8.4155282278092 |
L(r)(E,1)/r! |
Ω |
0.30824388675964 |
Real period |
R |
13.650762565227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008475 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10790i2 |
Quadratic twists by: -4 |