Atkin-Lehner |
5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82075j |
Isogeny class |
Conductor |
82075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
6897172625 = 53 · 77 · 67 |
Discriminant |
Eigenvalues |
1 0 5- 7- 2 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2312,-42029] |
[a1,a2,a3,a4,a6] |
Generators |
[-2549366:1920343:97336] |
Generators of the group modulo torsion |
j |
92959677/469 |
j-invariant |
L |
6.6144538402051 |
L(r)(E,1)/r! |
Ω |
0.68869301847723 |
Real period |
R |
9.6043573302646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82075l1 11725f1 |
Quadratic twists by: 5 -7 |