Atkin-Lehner |
3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54075u |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-334137323836640625 = -1 · 3 · 57 · 712 · 103 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,144724,18022823] |
[a1,a2,a3,a4,a6] |
Generators |
[14844:7576571:1728] |
Generators of the group modulo torsion |
j |
21455056968447311/21384788725545 |
j-invariant |
L |
9.4549306807687 |
L(r)(E,1)/r! |
Ω |
0.20041588452213 |
Real period |
R |
7.8627589019504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10815b4 |
Quadratic twists by: 5 |