Atkin-Lehner |
2- 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016m |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22789246370512896 = 216 · 34 · 236 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3203112,-2205432720] |
[a1,a2,a3,a4,a6] |
j |
887320005345582835753/5563780852176 |
j-invariant |
L |
0.45140531362568 |
L(r)(E,1)/r! |
Ω |
0.11285132840644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002f2 128064dc2 96048br2 |
Quadratic twists by: -4 8 -3 |