Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150bz |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.6185627990736E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12494478013,537549259336031] |
[a1,a2,a3,a4,a6] |
j |
110445499716716531679769421693/828704153125708426116 |
j-invariant |
L |
1.7006926306243 |
L(r)(E,1)/r! |
Ω |
0.042517315764536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51150be2 |
Quadratic twists by: 5 |