Atkin-Lehner |
2+ 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8554b |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-54056421328 = -1 · 24 · 76 · 13 · 472 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,774,7844] |
[a1,a2,a3,a4,a6] |
j |
51176381367383/54056421328 |
j-invariant |
L |
1.4827155380188 |
L(r)(E,1)/r! |
Ω |
0.74135776900941 |
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 |
68432ba2 76986be2 59878k2 111202bc2 |
Quadratic twists by: -4 -3 -7 13 |