Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9648l |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.1244246862436E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1476651,-756627622] |
[a1,a2,a3,a4,a6] |
Generators |
[197887:88027362:1] |
Generators of the group modulo torsion |
j |
-119253141177582313/13812614823936 |
j-invariant |
L |
5.5149800628626 |
L(r)(E,1)/r! |
Ω |
0.068034880221093 |
Real period |
R |
10.132633520006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1206f3 38592ch3 3216d3 |
Quadratic twists by: -4 8 -3 |