Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
33984s |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-748383141888 = -1 · 215 · 38 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,50128] |
[a1,a2,a3,a4,a6] |
Generators |
[2:216:1] |
Generators of the group modulo torsion |
j |
-24389000/31329 |
j-invariant |
L |
5.3086926409381 |
L(r)(E,1)/r! |
Ω |
0.81249015845206 |
Real period |
R |
0.81673183756651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33984j2 16992g2 11328c2 |
Quadratic twists by: -4 8 -3 |