Atkin-Lehner |
2- 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bl |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
Δ |
6.8616597561385E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136439563,612068052281] |
[a1,a2,a3,a4,a6] |
Generators |
[-4669:1073478:1] |
Generators of the group modulo torsion |
j |
17977307437469475709672681/43914622439286374400 |
j-invariant |
L |
8.1688697062301 |
L(r)(E,1)/r! |
Ω |
0.090850948788321 |
Real period |
R |
1.1239384141914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001856 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16530q2 |
Quadratic twists by: 5 |