Atkin-Lehner |
3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4275f |
Isogeny class |
Conductor |
4275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30434326171875 = 38 · 512 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21042,1149741] |
[a1,a2,a3,a4,a6] |
j |
90458382169/2671875 |
j-invariant |
L |
2.6310938677301 |
L(r)(E,1)/r! |
Ω |
0.65777346693252 |
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 |
68400fl2 1425g2 855b2 81225bf2 |
Quadratic twists by: -4 -3 5 -19 |