Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066bj |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1219703015667007872 = 27 · 310 · 72 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-964373,-360701728] |
[a1,a2,a3,a4,a6] |
Generators |
[1638:48730:1] |
Generators of the group modulo torsion |
j |
55988918938824481/688490554752 |
j-invariant |
L |
4.1918046088553 |
L(r)(E,1)/r! |
Ω |
0.1524618904436 |
Real period |
R |
0.6873528520396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006ba2 |
Quadratic twists by: -11 |