Atkin-Lehner |
2- 3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
15678h |
Isogeny class |
Conductor |
15678 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-228219503616 = -1 · 210 · 39 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15584,753027] |
[a1,a2,a3,a4,a6] |
Generators |
[1421:52641:1] [142649:165933:2197] |
Generators of the group modulo torsion |
j |
-574125551923897/313058304 |
j-invariant |
L |
7.9046203028415 |
L(r)(E,1)/r! |
Ω |
0.9807870009862 |
Real period |
R |
0.10074333538903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125424r1 5226a1 |
Quadratic twists by: -4 -3 |