Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27048r |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-135449459712 = -1 · 210 · 36 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1272,2556] |
[a1,a2,a3,a4,a6] |
j |
647514500/385641 |
j-invariant |
L |
2.5342530059129 |
L(r)(E,1)/r! |
Ω |
0.63356325147833 |
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 |
54096o1 81144l1 27048t1 |
Quadratic twists by: -4 -3 -7 |