Atkin-Lehner |
2- 83- |
Signs for the Atkin-Lehner involutions |
Class |
664c |
Isogeny class |
Conductor |
664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16 |
Modular degree for the optimal curve |
Δ |
-1328 = -1 · 24 · 83 |
Discriminant |
Eigenvalues |
2- -1 0 1 -1 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3,4] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
-256000/83 |
j-invariant |
L |
1.8865952753449 |
L(r)(E,1)/r! |
Ω |
4.5567302943842 |
Real period |
R |
0.20701195303022 |
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 |
1328a1 5312a1 5976b1 16600b1 |
Quadratic twists by: -4 8 -3 5 |