Atkin-Lehner |
5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18275b |
Isogeny class |
Conductor |
18275 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-3300921875 = -1 · 56 · 173 · 43 |
Discriminant |
Eigenvalues |
-1 -1 5+ 0 -6 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13463,595656] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-25:1] |
Generators of the group modulo torsion |
j |
-17271547035049/211259 |
j-invariant |
L |
1.697352282612 |
L(r)(E,1)/r! |
Ω |
1.2851808511909 |
Real period |
R |
0.44023694694775 |
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 |
731a1 |
Quadratic twists by: 5 |