Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190x |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
3627914062500 = 22 · 36 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4760784,3999402540] |
[a1,a2,a3,a4,a6] |
Generators |
[-1989:75807:1] |
Generators of the group modulo torsion |
j |
16369358802802724130049/4976562500 |
j-invariant |
L |
3.5538809665569 |
L(r)(E,1)/r! |
Ω |
0.46883448618695 |
Real period |
R |
3.7901232431308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
65520dq5 910j5 40950dl5 57330s5 |
Quadratic twists by: -4 -3 5 -7 |