Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820ba |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-48413259982080 = -1 · 28 · 38 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8673,124166] |
[a1,a2,a3,a4,a6] |
Generators |
[35:686:1] |
Generators of the group modulo torsion |
j |
3286064/2205 |
j-invariant |
L |
4.481839404123 |
L(r)(E,1)/r! |
Ω |
0.39950116597893 |
Real period |
R |
0.93488242041813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280fl2 2940b2 44100bu2 1260e2 |
Quadratic twists by: -4 -3 5 -7 |