Atkin-Lehner |
3- 5+ 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755r |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.4269123763883E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6381771,5734221126] |
[a1,a2,a3,a4,a6] |
j |
28744010631623351311975729/2426912376388333623075 |
j-invariant |
L |
1.1323883095366 |
L(r)(E,1)/r! |
Ω |
0.14154853868601 |
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 |
122265bj3 |
Quadratic twists by: -3 |