Atkin-Lehner |
3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
92781k |
Isogeny class |
Conductor |
92781 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.8285564293308E+21 |
Discriminant |
Eigenvalues |
0 3- 3 1 -6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18752916,31509126288] |
[a1,a2,a3,a4,a6] |
Generators |
[-29838380:1781088521:8000] |
Generators of the group modulo torsion |
j |
-207272886199386112/1940623385259 |
j-invariant |
L |
5.734037952309 |
L(r)(E,1)/r! |
Ω |
0.13370033205807 |
Real period |
R |
5.3609047399471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30927c3 7137f3 |
Quadratic twists by: -3 13 |