Atkin-Lehner |
2+ 3- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650ba |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5778432 |
Modular degree for the optimal curve |
Δ |
9.93395736576E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -4 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4308026,-3089916052] |
[a1,a2,a3,a4,a6] |
Generators |
[-918:10021:1] |
Generators of the group modulo torsion |
j |
565898429045918870929/63577327140864000 |
j-invariant |
L |
5.6673411734979 |
L(r)(E,1)/r! |
Ω |
0.10555802080288 |
Real period |
R |
3.3555841668972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930x1 |
Quadratic twists by: 5 |