Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66424f |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
389120 |
Modular degree for the optimal curve |
Δ |
-43699658784023296 = -1 · 28 · 199 · 232 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 -5 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27436,-9904396] |
[a1,a2,a3,a4,a6] |
Generators |
[361:6859:1] |
Generators of the group modulo torsion |
j |
27648/529 |
j-invariant |
L |
2.563727098375 |
L(r)(E,1)/r! |
Ω |
0.17537322854891 |
Real period |
R |
1.8273364182771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66424a1 |
Quadratic twists by: -19 |