Atkin-Lehner |
2+ 3- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570i |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2097814140000 = 25 · 39 · 54 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41814,-3279852] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:81:1] |
Generators of the group modulo torsion |
j |
11090909737189729/2877660000 |
j-invariant |
L |
3.1586613860163 |
L(r)(E,1)/r! |
Ω |
0.33386846556914 |
Real period |
R |
2.3651989568944 |
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 |
52560be2 2190n2 32850bu2 |
Quadratic twists by: -4 -3 5 |