Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720br |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8962598937600 = 210 · 310 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16707,818606] |
[a1,a2,a3,a4,a6] |
j |
690862540036/12006225 |
j-invariant |
L |
2.929650778484 |
L(r)(E,1)/r! |
Ω |
0.73241269462114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55440bc2 9240a2 |
Quadratic twists by: -4 -3 |