Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
82908w |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-241759728 = -1 · 24 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21,749] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:27:1] [1:27:1] |
Generators of the group modulo torsion |
j |
-1792/423 |
j-invariant |
L |
9.6481297872889 |
L(r)(E,1)/r! |
Ω |
1.4325779365276 |
Real period |
R |
0.56123356021573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636j1 82908m1 |
Quadratic twists by: -3 -7 |