Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bt |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
60866297856000 = 220 · 36 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18002,-845999] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:319:1] |
Generators of the group modulo torsion |
j |
884984855328729/83492864000 |
j-invariant |
L |
6.6358644197243 |
L(r)(E,1)/r! |
Ω |
0.41465911361983 |
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 |
65520dl1 910a1 40950bg1 57330el1 |
Quadratic twists by: -4 -3 5 -7 |