Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bt |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-480114971648676000 = -1 · 25 · 36 · 53 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,115918,29646289] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:4451:1] |
Generators of the group modulo torsion |
j |
236293804275620391/658593925444000 |
j-invariant |
L |
6.6358644197243 |
L(r)(E,1)/r! |
Ω |
0.20732955680991 |
Real period |
R |
0.26671966609695 |
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 |
65520dl3 910a4 40950bg3 57330el3 |
Quadratic twists by: -4 -3 5 -7 |