Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1344g |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16518176833536 = 220 · 38 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6657,71775] |
[a1,a2,a3,a4,a6] |
j |
124475734657/63011844 |
j-invariant |
L |
2.4575124648535 |
L(r)(E,1)/r! |
Ω |
0.61437811621339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1344m4 42a3 4032i4 33600ba3 |
Quadratic twists by: -4 8 -3 5 |