Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658n |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-87357114 = -1 · 2 · 32 · 133 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,100,236] |
[a1,a2,a3,a4,a6] |
j |
51064811/39762 |
j-invariant |
L |
2.4573620509564 |
L(r)(E,1)/r! |
Ω |
1.2286810257929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47658bg2 |
Quadratic twists by: 13 |