Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18200y |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
81536000 = 210 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1048,-12708] |
[a1,a2,a3,a4,a6] |
Generators |
[2514:22400:27] |
Generators of the group modulo torsion |
j |
995432756/637 |
j-invariant |
L |
6.8694894696287 |
L(r)(E,1)/r! |
Ω |
0.83905685052216 |
Real period |
R |
4.0935780843418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36400y1 18200l1 127400ch1 |
Quadratic twists by: -4 5 -7 |