Atkin-Lehner |
2+ 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81498g |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
42301440 |
Modular degree for the optimal curve |
Δ |
2.050517152582E+26 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-218490220,-1034701756246] |
[a1,a2,a3,a4,a6] |
j |
9727011353134161449/1729111957438464 |
j-invariant |
L |
4.2926908779959 |
L(r)(E,1)/r! |
Ω |
0.039747138154179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81498b1 |
Quadratic twists by: 17 |