Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810a |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14902272 |
Modular degree for the optimal curve |
Δ |
-9.8619102879317E+24 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75365554,-293684405948] |
[a1,a2,a3,a4,a6] |
Generators |
[87283724154557070572901306904975:2670149525034192696513455172327619:8201984524143956621510954219] |
Generators of the group modulo torsion |
j |
-1701366814932001/354418688000 |
j-invariant |
L |
4.6412055920562 |
L(r)(E,1)/r! |
Ω |
0.025336617430627 |
Real period |
R |
45.795434263908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810be1 6370s1 |
Quadratic twists by: -7 13 |