Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680bc |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
77948684000000 = 28 · 56 · 117 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12140,-286900] |
[a1,a2,a3,a4,a6] |
j |
436334416/171875 |
j-invariant |
L |
2.8226435532831 |
L(r)(E,1)/r! |
Ω |
0.47044059221386 |
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 |
2420g2 38720cj2 87120ew2 48400cp2 |
Quadratic twists by: -4 8 -3 5 |