Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400cd |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-1.247178944E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11- -6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,482992,-521703488] |
[a1,a2,a3,a4,a6] |
Generators |
[2072:96800:1] |
Generators of the group modulo torsion |
j |
109902239/1100000 |
j-invariant |
L |
2.3665109831335 |
L(r)(E,1)/r! |
Ω |
0.0916602904491 |
Real period |
R |
1.6136424586918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050z1 9680y1 4400n1 |
Quadratic twists by: -4 5 -11 |