Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560bw |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2267095389703782400 = 214 · 52 · 76 · 196 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62736988,-191264151888] |
[a1,a2,a3,a4,a6] |
j |
1666766511378391624080336/138372521344225 |
j-invariant |
L |
2.6821844792388 |
L(r)(E,1)/r! |
Ω |
0.053643689583236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42560t2 10640f2 |
Quadratic twists by: -4 8 |