Atkin-Lehner |
2+ 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16218j |
Isogeny class |
Conductor |
16218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3654417898512 = 24 · 314 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20277,-1102491] |
[a1,a2,a3,a4,a6] |
j |
1264792655148625/5012918928 |
j-invariant |
L |
0.80035222929152 |
L(r)(E,1)/r! |
Ω |
0.40017611464576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129744by1 5406i1 |
Quadratic twists by: -4 -3 |