Atkin-Lehner |
2+ 3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158y |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1.1779109888057E+22 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24477301773,1473992350953957] |
[a1,a2,a3,a4,a6] |
Generators |
[267601805733:13110055596912:2685619] |
Generators of the group modulo torsion |
j |
-2224778660867235879101476628566993/16157901081011429376 |
j-invariant |
L |
6.111606294871 |
L(r)(E,1)/r! |
Ω |
0.062540330161916 |
Real period |
R |
12.215330249793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
22386bb2 |
Quadratic twists by: -3 |