Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53742z |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1009741622638963968 = 28 · 34 · 133 · 536 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-380637,-76404303] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:3327:1] |
Generators of the group modulo torsion |
j |
2776046470986768589/459600192370944 |
j-invariant |
L |
13.782242229167 |
L(r)(E,1)/r! |
Ω |
0.19436857020024 |
Real period |
R |
0.73862262336097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53742k2 |
Quadratic twists by: 13 |