Atkin-Lehner |
2- 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832bj |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
-1.1803322731357E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 4 11+ -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-629857,16530430751] |
[a1,a2,a3,a4,a6] |
Generators |
[4277:303468:1] |
Generators of the group modulo torsion |
j |
-105416929096482457/450261029485960704 |
j-invariant |
L |
8.2613376735841 |
L(r)(E,1)/r! |
Ω |
0.084174651245272 |
Real period |
R |
3.5051855602591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128832g2 32208m2 |
Quadratic twists by: -4 8 |