Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664dx |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1038828142231584768 = 215 · 36 · 72 · 316 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-309153,-44518401] |
[a1,a2,a3,a4,a6] |
j |
99723055697117000/31702518989001 |
j-invariant |
L |
2.4905699927069 |
L(r)(E,1)/r! |
Ω |
0.20754749939091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664ci2 20832g2 124992fp2 |
Quadratic twists by: -4 8 -3 |