Atkin-Lehner |
3+ 5- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755g |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
200977373025 = 32 · 52 · 114 · 132 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 11+ 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7872,-271269] |
[a1,a2,a3,a4,a6] |
j |
53959158468888841/200977373025 |
j-invariant |
L |
1.0139076041866 |
L(r)(E,1)/r! |
Ω |
0.50695380212651 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122265m2 |
Quadratic twists by: -3 |