Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120cc |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
12986943692800 = 213 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11+ -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14520,655600] |
[a1,a2,a3,a4,a6] |
Generators |
[180:1960:1] |
Generators of the group modulo torsion |
j |
14338681/550 |
j-invariant |
L |
4.0636896792912 |
L(r)(E,1)/r! |
Ω |
0.7034898782837 |
Real period |
R |
0.24068633896584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390n1 43120bg1 |
Quadratic twists by: -4 -7 |