Atkin-Lehner |
2+ 3+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
27738a |
Isogeny class |
Conductor |
27738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
-31059459072 = -1 · 210 · 39 · 23 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,579,-6715] |
[a1,a2,a3,a4,a6] |
Generators |
[27345:-883825:27] |
Generators of the group modulo torsion |
j |
1089547389/1577984 |
j-invariant |
L |
5.6794508461571 |
L(r)(E,1)/r! |
Ω |
0.62210791410009 |
Real period |
R |
9.1293660109961 |
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 |
27738k1 |
Quadratic twists by: -3 |