Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40344g |
Isogeny class |
Conductor |
40344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10944240171264 = 28 · 32 · 416 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7284,176256] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:198:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
5.4997024291113 |
L(r)(E,1)/r! |
Ω |
0.67358232248332 |
Real period |
R |
4.0824278232513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80688e2 121032f2 24a1 |
Quadratic twists by: -4 -3 41 |