Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1344q |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
708083712 = 215 · 32 · 74 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-449,-3585] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:12:1] |
Generators of the group modulo torsion |
j |
306182024/21609 |
j-invariant |
L |
2.7960735747865 |
L(r)(E,1)/r! |
Ω |
1.0415607119696 |
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 |
1344n3 672c2 4032bc3 33600ew4 |
Quadratic twists by: -4 8 -3 5 |