Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1344r |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-16515072 = -1 · 218 · 32 · 7 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,63] |
[a1,a2,a3,a4,a6] |
j |
103823/63 |
j-invariant |
L |
2.7025476654956 |
L(r)(E,1)/r! |
Ω |
1.3512738327478 |
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 |
1344a1 336e1 4032bm1 33600em1 |
Quadratic twists by: -4 8 -3 5 |