Atkin-Lehner |
3- 13+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57681f |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
1761404697 = 36 · 132 · 17 · 292 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2720,55234] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-2:1] |
Generators of the group modulo torsion |
j |
3051779837625/2416193 |
j-invariant |
L |
2.6049400289739 |
L(r)(E,1)/r! |
Ω |
1.4782200196946 |
Real period |
R |
0.88110700512637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6409a1 |
Quadratic twists by: -3 |