Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fj |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.9729646937837E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4230732,3280548944] |
[a1,a2,a3,a4,a6] |
j |
350584567631475848/8259273550125 |
j-invariant |
L |
2.1418518804382 |
L(r)(E,1)/r! |
Ω |
0.17848765670347 |
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 |
37440ff3 18720l3 12480bp3 |
Quadratic twists by: -4 8 -3 |