Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640b |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
283024000000 = 210 · 56 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5563,-157638] |
[a1,a2,a3,a4,a6] |
j |
18593062763076/276390625 |
j-invariant |
L |
1.1066068050835 |
L(r)(E,1)/r! |
Ω |
0.55330340254176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5320b2 42560cv2 95760bl2 53200q2 |
Quadratic twists by: -4 8 -3 5 |