Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ce |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.220449296384E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24975372,-47746510864] |
[a1,a2,a3,a4,a6] |
Generators |
[-2818:16000:1] |
Generators of the group modulo torsion |
j |
9015548596898711041/63863437500000 |
j-invariant |
L |
6.2640304230097 |
L(r)(E,1)/r! |
Ω |
0.067562697567714 |
Real period |
R |
1.1589291591311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fp2 2610e2 27840o2 |
Quadratic twists by: -4 8 -3 |