Atkin-Lehner |
2- 3- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866r |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
16257024 |
Modular degree for the optimal curve |
Δ |
1.0257145417411E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1413628075,-20457531751759] |
[a1,a2,a3,a4,a6] |
j |
312413072094513236932469495722801/102571454174106220756992 |
j-invariant |
L |
3.5455063283647 |
L(r)(E,1)/r! |
Ω |
0.024621571724755 |
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 |
59598k1 |
Quadratic twists by: -3 |