Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40344g |
Isogeny class |
Conductor |
40344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14592320228352 = 210 · 3 · 416 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108144,13651152] |
[a1,a2,a3,a4,a6] |
Generators |
[9992:998316:1] |
Generators of the group modulo torsion |
j |
28756228/3 |
j-invariant |
L |
5.4997024291113 |
L(r)(E,1)/r! |
Ω |
0.67358232248332 |
Real period |
R |
8.1648556465027 |
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 |
80688e4 121032f4 24a3 |
Quadratic twists by: -4 -3 41 |