Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bt |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
Δ |
4732889616000000 = 210 · 36 · 56 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-64082,5310289] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:3251:1] |
Generators of the group modulo torsion |
j |
39920686684059609/6492304000000 |
j-invariant |
L |
6.6358644197243 |
L(r)(E,1)/r! |
Ω |
0.41465911361983 |
Real period |
R |
0.13335983304848 |
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 |
65520dl2 910a2 40950bg2 57330el2 |
Quadratic twists by: -4 -3 5 -7 |