Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650x |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-4.9811644972375E+19 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5764201,5337013548] |
[a1,a2,a3,a4,a6] |
j |
-4599141247/10816 |
j-invariant |
L |
0.80391319124585 |
L(r)(E,1)/r! |
Ω |
0.20097827675765 |
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 |
78650cx1 78650cy1 |
Quadratic twists by: 5 -11 |