Atkin-Lehner |
3+ 5- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755g |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3074923995 = 3 · 5 · 112 · 13 · 194 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 11+ 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-125847,-17236074] |
[a1,a2,a3,a4,a6] |
j |
220423404312465141241/3074923995 |
j-invariant |
L |
1.0139076041866 |
L(r)(E,1)/r! |
Ω |
0.25347690106325 |
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 |
122265m4 |
Quadratic twists by: -3 |