Atkin-Lehner |
3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35739n |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-69866081509224627 = -1 · 39 · 11 · 199 |
Discriminant |
Eigenvalues |
0 3- 0 2 11+ 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-97675770,-371559508025] |
[a1,a2,a3,a4,a6] |
Generators |
[15275482996476370:-2487972863954887481:506261573000] |
Generators of the group modulo torsion |
j |
-3004935183806464000/2037123 |
j-invariant |
L |
4.4761686775046 |
L(r)(E,1)/r! |
Ω |
0.024011696650974 |
Real period |
R |
23.302022044552 |
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 |
11913d2 1881a2 |
Quadratic twists by: -3 -19 |