Atkin-Lehner |
2+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248l |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1116120391848704 = -1 · 28 · 119 · 432 |
Discriminant |
Eigenvalues |
2+ 1 -1 -4 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24039,-717037] |
[a1,a2,a3,a4,a6] |
j |
3387339776/2461019 |
j-invariant |
L |
2.1986198362073 |
L(r)(E,1)/r! |
Ω |
0.27482747773974 |
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 |
41624q1 7568c1 |
Quadratic twists by: -4 -11 |