Atkin-Lehner |
2- 3+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20862p |
Isogeny class |
Conductor |
20862 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-40056730322688 = -1 · 28 · 39 · 194 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51950,4580605] |
[a1,a2,a3,a4,a6] |
j |
-787736987638875/2035092736 |
j-invariant |
L |
5.1804538401854 |
L(r)(E,1)/r! |
Ω |
0.64755673002318 |
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 |
20862a1 |
Quadratic twists by: -3 |