Atkin-Lehner |
2+ 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058c |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27820800 |
Modular degree for the optimal curve |
Δ |
-219004429619064 = -1 · 23 · 3 · 232 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 0 -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1523239401,22881701461533] |
[a1,a2,a3,a4,a6] |
Generators |
[208664967:-101363333:9261] |
Generators of the group modulo torsion |
j |
-657113243203147908283777/368184 |
j-invariant |
L |
5.3282932375043 |
L(r)(E,1)/r! |
Ω |
0.1616380820073 |
Real period |
R |
4.12054289706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4002p1 |
Quadratic twists by: 29 |