Atkin-Lehner |
2- 3- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050ck |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
1438560 |
Modular degree for the optimal curve |
Δ |
-215217797090625000 = -1 · 23 · 39 · 58 · 73 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23612,22278392] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:2834:1] |
Generators of the group modulo torsion |
j |
3727012518815/550957560552 |
j-invariant |
L |
15.255434128118 |
L(r)(E,1)/r! |
Ω |
0.2430457947625 |
Real period |
R |
1.1623654658786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003365 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106050a1 |
Quadratic twists by: 5 |