Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960bg |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-14864601600000 = -1 · 212 · 39 · 55 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 4 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5172,117952] |
[a1,a2,a3,a4,a6] |
j |
5124031424/4978125 |
j-invariant |
L |
1.8434894035717 |
L(r)(E,1)/r! |
Ω |
0.46087236094629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960bd1 28320o1 |
Quadratic twists by: -4 -3 |