Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792s |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-3700845734256 = -1 · 24 · 33 · 113 · 235 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10512,-421551] |
[a1,a2,a3,a4,a6] |
j |
-6032857180928/173781261 |
j-invariant |
L |
0.94138543844964 |
L(r)(E,1)/r! |
Ω |
0.23534636212934 |
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 |
66792c1 |
Quadratic twists by: -11 |