Atkin-Lehner |
2+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17776b |
Isogeny class |
Conductor |
17776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1223040 |
Modular degree for the optimal curve |
Δ |
-7.8550493577026E+19 |
Discriminant |
Eigenvalues |
2+ -2 -4 5 11+ 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2848400,-1899780236] |
[a1,a2,a3,a4,a6] |
Generators |
[417718758:16447172324:148877] |
Generators of the group modulo torsion |
j |
-1247949017853525511202/38354733191907341 |
j-invariant |
L |
3.0503628173101 |
L(r)(E,1)/r! |
Ω |
0.058000746099335 |
Real period |
R |
6.5739732297708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8888c1 71104s1 |
Quadratic twists by: -4 8 |