Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1344d |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1354752 = -1 · 210 · 33 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,-27] |
[a1,a2,a3,a4,a6] |
j |
2048000/1323 |
j-invariant |
L |
1.5487880808399 |
L(r)(E,1)/r! |
Ω |
1.5487880808399 |
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 |
1344p1 84a1 4032n1 33600cn1 |
Quadratic twists by: -4 8 -3 5 |