Atkin-Lehner |
3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8385d |
Isogeny class |
Conductor |
8385 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-360555 = -1 · 3 · 5 · 13 · 432 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21,-55] |
[a1,a2,a3,a4,a6] |
j |
-1073741824/360555 |
j-invariant |
L |
2.1842905711028 |
L(r)(E,1)/r! |
Ω |
1.0921452855514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25155i1 41925d1 109005n1 |
Quadratic twists by: -3 5 13 |