Atkin-Lehner |
2+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32240g |
Isogeny class |
Conductor |
32240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-1133300480 = -1 · 28 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -6 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1225,16997] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:169:1] |
Generators of the group modulo torsion |
j |
-794779196416/4426955 |
j-invariant |
L |
4.3327971693948 |
L(r)(E,1)/r! |
Ω |
1.5537357154019 |
Real period |
R |
1.3943160109034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16120c1 128960bd1 |
Quadratic twists by: -4 8 |