Atkin-Lehner |
2+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
1328b |
Isogeny class |
Conductor |
1328 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
-1328 = -1 · 24 · 83 |
Discriminant |
Eigenvalues |
2+ -1 -2 1 3 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
2048/83 |
j-invariant |
L |
2.158202218699 |
L(r)(E,1)/r! |
Ω |
2.3161480794132 |
Real period |
R |
0.93180666550724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
664b1 5312m1 11952e1 33200g1 |
Quadratic twists by: -4 8 -3 5 |