Atkin-Lehner |
2- 3+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
12726f |
Isogeny class |
Conductor |
12726 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-12094620369237504 = -1 · 29 · 39 · 76 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,54241,2073223] |
[a1,a2,a3,a4,a6] |
j |
896650074761589/614470373888 |
j-invariant |
L |
4.5553888069613 |
L(r)(E,1)/r! |
Ω |
0.25307715594229 |
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 |
101808o2 12726a2 89082bb2 |
Quadratic twists by: -4 -3 -7 |