Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442bp |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
260687232 = 27 · 32 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3- -4 3 3 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-499730,-136014204] |
[a1,a2,a3,a4,a6] |
Generators |
[-11022:5512:27] |
Generators of the group modulo torsion |
j |
6282029557211084893/118656 |
j-invariant |
L |
11.058792185863 |
L(r)(E,1)/r! |
Ω |
0.17956252121995 |
Real period |
R |
2.1995506666917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442w1 |
Quadratic twists by: 13 |