Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006s |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2576574 = 2 · 32 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-669,-6939] |
[a1,a2,a3,a4,a6] |
j |
33116363266897/2576574 |
j-invariant |
L |
1.8774642122485 |
L(r)(E,1)/r! |
Ω |
0.93873210612423 |
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 |
48048ct2 18018f2 42042dl2 66066q2 |
Quadratic twists by: -4 -3 -7 -11 |