Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bs |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
43238323335168 = 212 · 37 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26364,-1616992] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:169:1] |
Generators of the group modulo torsion |
j |
140608/3 |
j-invariant |
L |
5.3086911118568 |
L(r)(E,1)/r! |
Ω |
0.37515467080924 |
Real period |
R |
1.7688341385898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48672r3 97344cj1 16224e3 288c2 |
Quadratic twists by: -4 8 -3 13 |