Atkin-Lehner |
2+ 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650r |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
1.3044921547021E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4942651,4193228198] |
[a1,a2,a3,a4,a6] |
Generators |
[-2258:63116:1] |
Generators of the group modulo torsion |
j |
854640359337477502369/8348749790093280 |
j-invariant |
L |
5.5478677847501 |
L(r)(E,1)/r! |
Ω |
0.18589935819923 |
Real period |
R |
0.99477979857256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530s2 |
Quadratic twists by: 5 |