Atkin-Lehner |
2+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89888b |
Isogeny class |
Conductor |
89888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-4811616828772352 = -1 · 212 · 537 |
Discriminant |
Eigenvalues |
2+ 1 4 -4 0 -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41199,895967] |
[a1,a2,a3,a4,a6] |
Generators |
[258174:23609645:19683] |
Generators of the group modulo torsion |
j |
85184/53 |
j-invariant |
L |
8.5983885841123 |
L(r)(E,1)/r! |
Ω |
0.26813866298791 |
Real period |
R |
8.0167370179641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89888h1 1696e1 |
Quadratic twists by: -4 53 |