Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760z |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2723574251520 = 216 · 32 · 5 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5121,-118305] |
[a1,a2,a3,a4,a6] |
j |
226669409284/41558445 |
j-invariant |
L |
4.5719190664217 |
L(r)(E,1)/r! |
Ω |
0.57148988330241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760bw3 3720b3 89280cm3 |
Quadratic twists by: -4 8 -3 |