Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55470c |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
2.1400822889676E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32479572,-71256562416] |
[a1,a2,a3,a4,a6] |
Generators |
[-54015324278:-2238636501:16387064] |
Generators of the group modulo torsion |
j |
599437478278595809/33854760000 |
j-invariant |
L |
3.1665952736505 |
L(r)(E,1)/r! |
Ω |
0.063240959464994 |
Real period |
R |
12.517976089058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290n1 |
Quadratic twists by: -43 |