Atkin-Lehner |
3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165i |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
8128512 |
Modular degree for the optimal curve |
Δ |
-4.6910821106412E+23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 0 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9188280,34649014200] |
[a1,a2,a3,a4,a6] |
j |
-17773226067995349769/97188061732734375 |
j-invariant |
L |
1.133032245857 |
L(r)(E,1)/r! |
Ω |
0.08093087465683 |
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 |
3705a1 |
Quadratic twists by: 13 |