Atkin-Lehner |
2- 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
80560m |
Isogeny class |
Conductor |
80560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6432 |
Modular degree for the optimal curve |
Δ |
-80560 = -1 · 24 · 5 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- -4 1 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32,71] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
-226492416/5035 |
j-invariant |
L |
5.1650027998724 |
L(r)(E,1)/r! |
Ω |
3.4235394166276 |
Real period |
R |
1.5086733846229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20140e1 |
Quadratic twists by: -4 |