Atkin-Lehner |
2+ 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12818b |
Isogeny class |
Conductor |
12818 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-63453275477240896 = -1 · 26 · 132 · 178 · 292 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-655646,-204971980] |
[a1,a2,a3,a4,a6] |
j |
-31169726752174074792937/63453275477240896 |
j-invariant |
L |
1.3420513187839 |
L(r)(E,1)/r! |
Ω |
0.083878207423993 |
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 |
102544m2 115362o2 |
Quadratic twists by: -4 -3 |