Atkin-Lehner |
2- 3+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57072o |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-17711096688 = -1 · 24 · 33 · 293 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 5 -5 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-654,-8865] |
[a1,a2,a3,a4,a6] |
Generators |
[506:3567:8] |
Generators of the group modulo torsion |
j |
-1936425816832/1106943543 |
j-invariant |
L |
4.5571261010841 |
L(r)(E,1)/r! |
Ω |
0.45983514802144 |
Real period |
R |
1.6517245802234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14268e1 |
Quadratic twists by: -4 |