Atkin-Lehner |
2- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85904ba |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1297494016 = -1 · 212 · 7 · 13 · 592 |
Discriminant |
Eigenvalues |
2- -2 1 7- -2 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,1731] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:41:1] [14:59:1] |
Generators of the group modulo torsion |
j |
-16777216/316771 |
j-invariant |
L |
8.6581636442543 |
L(r)(E,1)/r! |
Ω |
1.2866440273654 |
Real period |
R |
3.3646305660752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5369c1 |
Quadratic twists by: -4 |