Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8464p |
Isogeny class |
Conductor |
8464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-138674176 = -1 · 218 · 232 |
Discriminant |
Eigenvalues |
2- 2 -3 2 6 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1832,-29584] |
[a1,a2,a3,a4,a6] |
Generators |
[1849:79464:1] |
Generators of the group modulo torsion |
j |
-313994137/64 |
j-invariant |
L |
5.4986390664648 |
L(r)(E,1)/r! |
Ω |
0.36484897284092 |
Real period |
R |
7.5355002696723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1058c2 33856bn2 76176ch2 8464o2 |
Quadratic twists by: -4 8 -3 -23 |