Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1248i |
Isogeny class |
Conductor |
1248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
67392 = 26 · 34 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -6 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14,12] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
5088448/1053 |
j-invariant |
L |
2.803909124875 |
L(r)(E,1)/r! |
Ω |
3.2898747822245 |
Real period |
R |
0.42614222584165 |
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 |
1248a1 2496e2 3744c1 31200h1 |
Quadratic twists by: -4 8 -3 5 |