Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8528g |
Isogeny class |
Conductor |
8528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15648476659712 = 215 · 132 · 414 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115931,15191946] |
[a1,a2,a3,a4,a6] |
Generators |
[173:560:1] |
Generators of the group modulo torsion |
j |
42069031141486257/3820428872 |
j-invariant |
L |
3.405829193528 |
L(r)(E,1)/r! |
Ω |
0.66768686118668 |
Real period |
R |
2.5504689335019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1066e3 34112t4 76752bq4 110864e4 |
Quadratic twists by: -4 8 -3 13 |