Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442bn |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
120795597849858048 = 212 · 33 · 139 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-174158,-22441212] |
[a1,a2,a3,a4,a6] |
Generators |
[-308:1570:1] |
Generators of the group modulo torsion |
j |
55088885125/11390976 |
j-invariant |
L |
14.235952858287 |
L(r)(E,1)/r! |
Ω |
0.23710439563146 |
Real period |
R |
3.3356035761181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104442u1 |
Quadratic twists by: 13 |