Atkin-Lehner |
5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17885b |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
156000 |
Modular degree for the optimal curve |
Δ |
213956298828125 = 513 · 74 · 73 |
Discriminant |
Eigenvalues |
2 0 5+ 7+ 6 2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-178703,29068233] |
[a1,a2,a3,a4,a6] |
Generators |
[15876:3615:64] |
Generators of the group modulo torsion |
j |
262861560682205184/89111328125 |
j-invariant |
L |
9.5113820155614 |
L(r)(E,1)/r! |
Ω |
0.55054694768393 |
Real period |
R |
5.7587471607852 |
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 |
89425e1 17885s1 |
Quadratic twists by: 5 -7 |