Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550h |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-1.3411301090918E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,827208,1737783616] |
[a1,a2,a3,a4,a6] |
j |
5495662324535111/117739817533440 |
j-invariant |
L |
0.45605371855763 |
L(r)(E,1)/r! |
Ω |
0.11401342963941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400fq1 2850q1 1710s1 |
Quadratic twists by: -4 -3 5 |