Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066ci |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8517398303567281128 = 23 · 3 · 73 · 118 · 136 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5251463,4629433953] |
[a1,a2,a3,a4,a6] |
j |
9040834853442015625/4807849294248 |
j-invariant |
L |
5.5035238670268 |
L(r)(E,1)/r! |
Ω |
0.22931349455553 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006r4 |
Quadratic twists by: -11 |