Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896v |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
55503360 |
Modular degree for the optimal curve |
Δ |
-7.79582999403E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 6 6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,217719848,-524952002752] |
[a1,a2,a3,a4,a6] |
Generators |
[136527154456:74750988222408:456533] |
Generators of the group modulo torsion |
j |
259351772/177147 |
j-invariant |
L |
12.11662040273 |
L(r)(E,1)/r! |
Ω |
0.028565633252118 |
Real period |
R |
19.280352302729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127896w1 |
Quadratic twists by: 73 |