Atkin-Lehner |
2+ 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20886d |
Isogeny class |
Conductor |
20886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5512320 |
Modular degree for the optimal curve |
Δ |
2.0545432054952E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-81841863,284108272245] |
[a1,a2,a3,a4,a6] |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
2.5154461770019 |
L(r)(E,1)/r! |
Ω |
0.10061784708008 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62658bb1 354e1 |
Quadratic twists by: -3 -59 |