Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bv |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
4.7413030230441E+22 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16563553,-23733322063] |
[a1,a2,a3,a4,a6] |
Generators |
[-2665:39748:1] |
Generators of the group modulo torsion |
j |
884984855328729/83492864000 |
j-invariant |
L |
7.3575638661085 |
L(r)(E,1)/r! |
Ω |
0.075288933670428 |
Real period |
R |
2.4431093356967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830t1 6370j1 |
Quadratic twists by: -7 13 |