Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200gb |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3968296640000000 = -1 · 212 · 57 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39700,-4296000] |
[a1,a2,a3,a4,a6] |
j |
-108122295744/62004635 |
j-invariant |
L |
1.977002241711 |
L(r)(E,1)/r! |
Ω |
0.16475020595798 |
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 |
123200eb2 61600j1 24640bf2 |
Quadratic twists by: -4 8 5 |