Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1344q |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
4032 = 26 · 32 · 7 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84,270] |
[a1,a2,a3,a4,a6] |
Generators |
[9:18:1] |
Generators of the group modulo torsion |
j |
1036433728/63 |
j-invariant |
L |
2.7960735747865 |
L(r)(E,1)/r! |
Ω |
4.1662428478785 |
Real period |
R |
1.3422518450696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1344n1 672c3 4032bc1 33600ew1 |
Quadratic twists by: -4 8 -3 5 |