Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664dz |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4049305997493141504 = -1 · 220 · 32 · 712 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,224063,87863615] |
[a1,a2,a3,a4,a6] |
j |
4745612697439823/15446876516316 |
j-invariant |
L |
4.1945857794531 |
L(r)(E,1)/r! |
Ω |
0.1747744074784 |
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 |
41664j3 10416z4 124992ga3 |
Quadratic twists by: -4 8 -3 |