Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810ca |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.1147096166326E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-121470021,515230215443] |
[a1,a2,a3,a4,a6] |
Generators |
[15084399:11265126376:27] |
Generators of the group modulo torsion |
j |
349046010201856969/7245875000 |
j-invariant |
L |
14.091401178101 |
L(r)(E,1)/r! |
Ω |
0.12803754152884 |
Real period |
R |
9.1713993987888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830x4 6370h4 |
Quadratic twists by: -7 13 |