Atkin-Lehner |
3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475t |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
65227104140625 = 38 · 57 · 74 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26842505,-53521493128] |
[a1,a2,a3,a4,a6] |
Generators |
[110742:11884025:8] |
Generators of the group modulo torsion |
j |
187778242790732059201/5726385 |
j-invariant |
L |
3.9572163069971 |
L(r)(E,1)/r! |
Ω |
0.066327525503278 |
Real period |
R |
7.4577188716086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27825l1 16695j1 |
Quadratic twists by: -3 5 |