Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bk |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
9031680 |
Modular degree for the optimal curve |
Δ |
1.8520714933766E+22 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9481917,-9137546179] |
[a1,a2,a3,a4,a6] |
Generators |
[-39255:1092017:27] |
Generators of the group modulo torsion |
j |
166021325905681/32614400000 |
j-invariant |
L |
7.9136835711087 |
L(r)(E,1)/r! |
Ω |
0.087213778090364 |
Real period |
R |
4.5369457351056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830d1 6370q1 |
Quadratic twists by: -7 13 |