Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40344g |
Isogeny class |
Conductor |
40344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
87553921370112 = 211 · 32 · 416 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-646064,-200091360] |
[a1,a2,a3,a4,a6] |
Generators |
[-76916582685:2531178980:165469149] |
Generators of the group modulo torsion |
j |
3065617154/9 |
j-invariant |
L |
5.4997024291113 |
L(r)(E,1)/r! |
Ω |
0.16839558062083 |
Real period |
R |
16.329711293005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80688e6 121032f6 24a5 |
Quadratic twists by: -4 -3 41 |