Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128t |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1598858056957952 = 219 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43969,2996673] |
[a1,a2,a3,a4,a6] |
Generators |
[1041:32928:1] |
Generators of the group modulo torsion |
j |
304821217/51842 |
j-invariant |
L |
6.5848155851772 |
L(r)(E,1)/r! |
Ω |
0.45311215765029 |
Real period |
R |
1.8165523353777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997506 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bq2 2254g2 10304o2 |
Quadratic twists by: -4 8 -7 |