Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208dc |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11650969729236992 = 227 · 72 · 116 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21145153,-37432268865] |
[a1,a2,a3,a4,a6] |
Generators |
[12591:1300992:1] [4860954:-250512713:729] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
7.0521227218107 |
L(r)(E,1)/r! |
Ω |
0.070403920729814 |
Real period |
R |
25.041654813785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208m6 13552ba6 448f6 |
Quadratic twists by: -4 8 -11 |