Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
66400l |
Isogeny class |
Conductor |
66400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-83000000 = -1 · 26 · 56 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 1 -6 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42,412] |
[a1,a2,a3,a4,a6] |
Generators |
[12:50:1] |
Generators of the group modulo torsion |
j |
8000/83 |
j-invariant |
L |
5.4414788895154 |
L(r)(E,1)/r! |
Ω |
1.4133477871434 |
Real period |
R |
0.96251590352924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66400a1 2656a1 |
Quadratic twists by: -4 5 |