Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785m |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.6854325547791E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8635793,-10637498968] |
[a1,a2,a3,a4,a6] |
Generators |
[90212496677118:33569185274586743:649461896] |
Generators of the group modulo torsion |
j |
-55150149867714721/5950927734375 |
j-invariant |
L |
3.124205192268 |
L(r)(E,1)/r! |
Ω |
0.043768002770784 |
Real period |
R |
17.845257919348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595n7 585f8 |
Quadratic twists by: -3 -11 |