Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432co |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
27057532649472 = 214 · 32 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45713,-3768849] |
[a1,a2,a3,a4,a6] |
Generators |
[306:3315:1] |
Generators of the group modulo torsion |
j |
644811009586000/1651460733 |
j-invariant |
L |
8.7317344954409 |
L(r)(E,1)/r! |
Ω |
0.32655450408723 |
Real period |
R |
2.2282483695037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432n2 10608c2 127296cv2 |
Quadratic twists by: -4 8 -3 |