Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054bn |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1602358980343881816 = 23 · 3 · 718 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-377252,65121720] |
[a1,a2,a3,a4,a6] |
Generators |
[3709218:28303476:6859] |
Generators of the group modulo torsion |
j |
50469638798675377/13619826605784 |
j-invariant |
L |
8.9019106030843 |
L(r)(E,1)/r! |
Ω |
0.24926884496124 |
Real period |
R |
11.904028900294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96432br3 36162s3 1722m3 |
Quadratic twists by: -4 -3 -7 |