Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bv |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-21921829930930176 = -1 · 212 · 38 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -6 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46644,-5975840] |
[a1,a2,a3,a4,a6] |
Generators |
[428:9612:1] |
Generators of the group modulo torsion |
j |
778688/1521 |
j-invariant |
L |
3.6284524859966 |
L(r)(E,1)/r! |
Ω |
0.19931146493714 |
Real period |
R |
4.5512340285192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48672t2 97344bw1 16224j2 3744c2 |
Quadratic twists by: -4 8 -3 13 |