Atkin-Lehner |
2- 3+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18666f |
Isogeny class |
Conductor |
18666 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-64733688 = -1 · 23 · 33 · 173 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 3 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-290,2009] |
[a1,a2,a3,a4,a6] |
j |
-99574747875/2397544 |
j-invariant |
L |
3.9180936399625 |
L(r)(E,1)/r! |
Ω |
1.9590468199812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18666a2 |
Quadratic twists by: -3 |