Atkin-Lehner |
2- 3- 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650dn |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
325440 |
Modular degree for the optimal curve |
Δ |
-56204191406250 = -1 · 2 · 39 · 59 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 1 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14513,-764733] |
[a1,a2,a3,a4,a6] |
Generators |
[10228:59011:64] |
Generators of the group modulo torsion |
j |
-173088067517/28776546 |
j-invariant |
L |
13.987290838891 |
L(r)(E,1)/r! |
Ω |
0.2155226654751 |
Real period |
R |
3.605522000117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017726 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650i1 |
Quadratic twists by: 5 |