Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27048p |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
287523176611313664 = 211 · 32 · 714 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-471984,-121954356] |
[a1,a2,a3,a4,a6] |
Generators |
[10373:1054040:1] |
Generators of the group modulo torsion |
j |
48260105780546/1193313807 |
j-invariant |
L |
3.3872894562846 |
L(r)(E,1)/r! |
Ω |
0.18241993993912 |
Real period |
R |
9.2843179792054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54096u3 81144u3 3864e4 |
Quadratic twists by: -4 -3 -7 |