Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1344h |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
1296243648 = 26 · 310 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376,-2338] |
[a1,a2,a3,a4,a6] |
j |
92100460096/20253807 |
j-invariant |
L |
2.752319096048 |
L(r)(E,1)/r! |
Ω |
1.1009276384192 |
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 |
1344e1 672d2 4032k1 33600t1 |
Quadratic twists by: -4 8 -3 5 |