Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4002o |
Isogeny class |
Conductor |
4002 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
12708699174 = 2 · 33 · 234 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-242219,-45904101] |
[a1,a2,a3,a4,a6] |
j |
1571623248760107387697/12708699174 |
j-invariant |
L |
2.5824310800744 |
L(r)(E,1)/r! |
Ω |
0.2152025900062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32016v4 128064c4 12006i4 100050m4 |
Quadratic twists by: -4 8 -3 5 |