Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
32160p |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.817391531696E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,210384,8075573316] |
[a1,a2,a3,a4,a6] |
Generators |
[-15234085569096:62382537483750:7750636739] |
Generators of the group modulo torsion |
j |
2011360008789887608/55027178353437890625 |
j-invariant |
L |
4.9958491619231 |
L(r)(E,1)/r! |
Ω |
0.093410527083646 |
Real period |
R |
13.370680259221 |
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 |
32160g2 64320bl2 96480r2 |
Quadratic twists by: -4 8 -3 |