Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1682d |
Isogeny class |
Conductor |
1682 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
4001971303688 = 23 · 298 |
Discriminant |
Eigenvalues |
2+ -2 0 -1 -6 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124486,-16915536] |
[a1,a2,a3,a4,a6] |
j |
426477625/8 |
j-invariant |
L |
0.25416768499355 |
L(r)(E,1)/r! |
Ω |
0.25416768499355 |
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 |
13456o2 53824o2 15138z2 42050bd2 |
Quadratic twists by: -4 8 -3 5 |