Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664by |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1679535593422848 = 216 · 312 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 0 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-92739,-10689982] |
[a1,a2,a3,a4,a6] |
j |
29540882258497/562473072 |
j-invariant |
L |
4.3823410444326 |
L(r)(E,1)/r! |
Ω |
0.27389631805365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10458k2 27888bd2 |
Quadratic twists by: -4 -3 |