Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692x |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-446630236416 = -1 · 28 · 36 · 72 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1689,-17890] |
[a1,a2,a3,a4,a6] |
Generators |
[23:182:1] |
Generators of the group modulo torsion |
j |
2855256752/2393209 |
j-invariant |
L |
5.0243728123378 |
L(r)(E,1)/r! |
Ω |
0.51900032547062 |
Real period |
R |
0.80673886666345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998412 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6188b2 |
Quadratic twists by: -3 |