Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054i |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-194603681496 = -1 · 23 · 3 · 76 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -6 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,661,20469] |
[a1,a2,a3,a4,a6] |
Generators |
[97:956:1] |
Generators of the group modulo torsion |
j |
270840023/1654104 |
j-invariant |
L |
1.547772671742 |
L(r)(E,1)/r! |
Ω |
0.72874593707805 |
Real period |
R |
0.35398085784371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432dd2 36162cs2 246f2 |
Quadratic twists by: -4 -3 -7 |