Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17885h |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-451077663246875 = -1 · 55 · 711 · 73 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- 6 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12373,1145852] |
[a1,a2,a3,a4,a6] |
Generators |
[-778:9993:8] |
Generators of the group modulo torsion |
j |
-1780800847561/3834096875 |
j-invariant |
L |
4.3435209476427 |
L(r)(E,1)/r! |
Ω |
0.4688167162919 |
Real period |
R |
2.3162148429762 |
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 |
89425n1 2555f1 |
Quadratic twists by: 5 -7 |