Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110466o |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
60279552 |
Modular degree for the optimal curve |
Δ |
-3.138588032959E+26 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 -3 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4530798,852373578708] |
[a1,a2,a3,a4,a6] |
Generators |
[21036:3162090:1] |
Generators of the group modulo torsion |
j |
-830790516673/25350000869376 |
j-invariant |
L |
5.185406413888 |
L(r)(E,1)/r! |
Ω |
0.043423604269045 |
Real period |
R |
1.6585342191412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36822w1 110466bw1 |
Quadratic twists by: -3 -19 |