Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6566a |
Isogeny class |
Conductor |
6566 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
45962 = 2 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 4 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5002,-138270] |
[a1,a2,a3,a4,a6] |
j |
40364196336127/134 |
j-invariant |
L |
1.1353566915477 |
L(r)(E,1)/r! |
Ω |
0.56767834577385 |
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 |
52528bv2 59094bw2 6566b2 |
Quadratic twists by: -4 -3 -7 |