Atkin-Lehner |
2- 3+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
12726f |
Isogeny class |
Conductor |
12726 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
44064 |
Modular degree for the optimal curve |
Δ |
178750270734336 = 218 · 39 · 73 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14879,276103] |
[a1,a2,a3,a4,a6] |
j |
18506585011851/9081454592 |
j-invariant |
L |
4.5553888069613 |
L(r)(E,1)/r! |
Ω |
0.50615431188459 |
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 |
101808o1 12726a1 89082bb1 |
Quadratic twists by: -4 -3 -7 |