Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112bh |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20818451976192 = 212 · 34 · 137 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-187984,31307732] |
[a1,a2,a3,a4,a6] |
Generators |
[82:4056:1] |
Generators of the group modulo torsion |
j |
37159393753/1053 |
j-invariant |
L |
4.0875369385998 |
L(r)(E,1)/r! |
Ω |
0.6341855818862 |
Real period |
R |
1.6113331236744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
507c3 32448ch4 24336bt4 624h4 |
Quadratic twists by: -4 8 -3 13 |