Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21280o |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6469120000 = 212 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23308,-1369632] |
[a1,a2,a3,a4,a6] |
j |
341884012521024/1579375 |
j-invariant |
L |
0.77277563090786 |
L(r)(E,1)/r! |
Ω |
0.38638781545393 |
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 |
21280c2 42560bb1 106400j2 |
Quadratic twists by: -4 8 5 |