Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520ei |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.976767757217E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189469227,-1003797887654] |
[a1,a2,a3,a4,a6] |
Generators |
[1026540104377127:-200031161666825250:23912763841] |
Generators of the group modulo torsion |
j |
251913989442882736925929/6620155222590000 |
j-invariant |
L |
6.176577878227 |
L(r)(E,1)/r! |
Ω |
0.040692612109339 |
Real period |
R |
18.97327781967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bn3 21840bw4 |
Quadratic twists by: -4 -3 |