Atkin-Lehner |
2+ 3+ 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470m |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.270412844416E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67154047,198994493509] |
[a1,a2,a3,a4,a6] |
j |
33491939122713475747211090041/2270412844416000000000000 |
j-invariant |
L |
0.96564397119218 |
L(r)(E,1)/r! |
Ω |
0.080470330933029 |
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 |
121410t2 |
Quadratic twists by: -3 |