Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840bz |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-4.56919685775E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-909327,-466005454] |
[a1,a2,a3,a4,a6] |
j |
-445570549505984464/244834365234375 |
j-invariant |
L |
3.014940083439 |
L(r)(E,1)/r! |
Ω |
0.075373502089731 |
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 |
85680by1 14280c1 |
Quadratic twists by: -4 -3 |