Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1682c |
Isogeny class |
Conductor |
1682 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.5211845098793E+19 |
Discriminant |
Eigenvalues |
2+ -1 -1 -2 5 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,314517,175069309] |
[a1,a2,a3,a4,a6] |
j |
237176659/1048576 |
j-invariant |
L |
0.63381173642831 |
L(r)(E,1)/r! |
Ω |
0.15845293410708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13456m2 53824m2 15138bc2 42050bc2 |
Quadratic twists by: -4 8 -3 5 |