Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466t |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
132933029537124 = 22 · 37 · 17 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63423,6138585] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:3351:1] [136:53:1] |
Generators of the group modulo torsion |
j |
822656953/3876 |
j-invariant |
L |
7.477634142718 |
L(r)(E,1)/r! |
Ω |
0.58727462114884 |
Real period |
R |
3.1831931235378 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36822z1 5814q1 |
Quadratic twists by: -3 -19 |