Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32032i |
Isogeny class |
Conductor |
32032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3591171584 = 29 · 73 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11- 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3611,83470] |
[a1,a2,a3,a4,a6] |
Generators |
[21:130:1] |
Generators of the group modulo torsion |
j |
10170357436296/7014007 |
j-invariant |
L |
3.9761680546607 |
L(r)(E,1)/r! |
Ω |
1.3906186784404 |
Real period |
R |
1.4296399567708 |
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 |
32032e2 64064b2 |
Quadratic twists by: -4 8 |