Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960bd |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[52:540:1] |
Generators of the group modulo torsion |
j |
5124031424/4978125 |
j-invariant |
L |
6.2049978109281 |
L(r)(E,1)/r! |
Ω |
0.38239146411677 |
Real period |
R |
2.0283526164177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960bg1 28320i1 |
Quadratic twists by: -4 -3 |