Atkin-Lehner |
2+ 3- 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970s |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2351465684589864960 = 211 · 314 · 5 · 134 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-596754,-161220780] |
[a1,a2,a3,a4,a6] |
j |
32239077731321748769/3225604505610240 |
j-invariant |
L |
1.3830270657611 |
L(r)(E,1)/r! |
Ω |
0.17287838314846 |
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 |
15990u2 |
Quadratic twists by: -3 |