Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108927g |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-2918784653622747 = -1 · 315 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
0 3- 0 7- -3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-151410,22825192] |
[a1,a2,a3,a4,a6] |
Generators |
[742:17860:1] |
Generators of the group modulo torsion |
j |
-4475809792000/34031907 |
j-invariant |
L |
4.1423083021449 |
L(r)(E,1)/r! |
Ω |
0.45403655728931 |
Real period |
R |
0.57020578127452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999616721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36309b1 15561n1 |
Quadratic twists by: -3 -7 |