Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48642bc |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2.4469889730107E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1240797,582692529] |
[a1,a2,a3,a4,a6] |
Generators |
[2210:91823:1] |
Generators of the group modulo torsion |
j |
-119253141177582313/13812614823936 |
j-invariant |
L |
10.153949803546 |
L(r)(E,1)/r! |
Ω |
0.20682629450738 |
Real period |
R |
0.68186243408177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
402d3 |
Quadratic twists by: -11 |