Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5742w |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-115054298422272 = -1 · 210 · 37 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-127760,-17552397] |
[a1,a2,a3,a4,a6] |
j |
-316357187835741625/157824826368 |
j-invariant |
L |
3.7877330021565 |
L(r)(E,1)/r! |
Ω |
0.12625776673855 |
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 |
45936bf1 1914b1 63162ba1 |
Quadratic twists by: -4 -3 -11 |