Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125856r |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
8601600 |
Modular degree for the optimal curve |
Δ |
-1.0293092682034E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 3 2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11014104,14153702704] |
[a1,a2,a3,a4,a6] |
Generators |
[2825:74727:1] |
Generators of the group modulo torsion |
j |
-49486159972538348032/344713591299699 |
j-invariant |
L |
7.5485747187442 |
L(r)(E,1)/r! |
Ω |
0.1566229140141 |
Real period |
R |
0.86064019841948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125856l1 41952r1 |
Quadratic twists by: -4 -3 |