Atkin-Lehner |
2- 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81180f |
Isogeny class |
Conductor |
81180 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
66725698050000 = 24 · 38 · 55 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85728,-9653227] |
[a1,a2,a3,a4,a6] |
j |
5973711945465856/5720653125 |
j-invariant |
L |
0.55805091584281 |
L(r)(E,1)/r! |
Ω |
0.27902547147852 |
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 |
27060f1 |
Quadratic twists by: -3 |