Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144o |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-21513836784 = -1 · 24 · 3 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11+ -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-386,7767] |
[a1,a2,a3,a4,a6] |
j |
-398556845824/1344614799 |
j-invariant |
L |
1.0600893208069 |
L(r)(E,1)/r! |
Ω |
1.0600893208069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3036i1 48576dm1 36432cq1 |
Quadratic twists by: -4 8 -3 |