Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1344r |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12039487488 = 218 · 38 · 7 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2497,-48577] |
[a1,a2,a3,a4,a6] |
j |
6570725617/45927 |
j-invariant |
L |
2.7025476654956 |
L(r)(E,1)/r! |
Ω |
0.67563691637391 |
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 |
1344a4 336e3 4032bm4 33600em3 |
Quadratic twists by: -4 8 -3 5 |