Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700q |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
162000 |
Modular degree for the optimal curve |
Δ |
7022700000000 = 28 · 35 · 58 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17708,903912] |
[a1,a2,a3,a4,a6] |
Generators |
[1767:3916:27] |
Generators of the group modulo torsion |
j |
21250000/243 |
j-invariant |
L |
4.7158804566421 |
L(r)(E,1)/r! |
Ω |
0.74945382944258 |
Real period |
R |
6.2924229261097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700be1 86700cc1 |
Quadratic twists by: 5 17 |