Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4004c |
Isogeny class |
Conductor |
4004 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-19731712 = -1 · 28 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 2 4 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44,168] |
[a1,a2,a3,a4,a6] |
j |
35969456/77077 |
j-invariant |
L |
4.5050946352328 |
L(r)(E,1)/r! |
Ω |
1.5016982117443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16016f2 64064o2 36036k2 100100f2 |
Quadratic twists by: -4 8 -3 5 |