Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12642bi |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-260637600214152 = -1 · 23 · 34 · 76 · 434 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14897,1044273] |
[a1,a2,a3,a4,a6] |
j |
-3107661785857/2215383048 |
j-invariant |
L |
6.104523577551 |
L(r)(E,1)/r! |
Ω |
0.50871029812925 |
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 |
101136bs3 37926o3 258d4 |
Quadratic twists by: -4 -3 -7 |