Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400bu |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-29000000 = -1 · 26 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 5 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-262] |
[a1,a2,a3,a4,a6] |
Generators |
[14763:345518:27] |
Generators of the group modulo torsion |
j |
-64/29 |
j-invariant |
L |
8.0127520553869 |
L(r)(E,1)/r! |
Ω |
0.94165687805217 |
Real period |
R |
8.5092056800752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400bx1 23200h1 1856k1 |
Quadratic twists by: -4 8 5 |