Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47658bg |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-421656104069226 = -1 · 2 · 32 · 139 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16981,502059] |
[a1,a2,a3,a4,a6] |
j |
51064811/39762 |
j-invariant |
L |
6.1339464545144 |
L(r)(E,1)/r! |
Ω |
0.34077480305277 |
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 |
47658n2 |
Quadratic twists by: 13 |