Atkin-Lehner |
2- 3+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
53808k |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-82563418583728128 = -1 · 221 · 32 · 192 · 594 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22448,13892544] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:3894:1] |
Generators of the group modulo torsion |
j |
-305433080088625/20157084615168 |
j-invariant |
L |
3.8071719465088 |
L(r)(E,1)/r! |
Ω |
0.28233930111698 |
Real period |
R |
1.685548173506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726h2 |
Quadratic twists by: -4 |