Atkin-Lehner |
2+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872w |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9971077480448 = 219 · 74 · 892 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6497,-134657] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:56:1] |
Generators of the group modulo torsion |
j |
115714886617/38036642 |
j-invariant |
L |
4.6118922974545 |
L(r)(E,1)/r! |
Ω |
0.54573264320968 |
Real period |
R |
2.1127068147927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39872bd2 1246f2 |
Quadratic twists by: -4 8 |