Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600bs |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2373120000000 = -1 · 215 · 32 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7008,-240012] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1200:1] |
Generators of the group modulo torsion |
j |
-594823321/37080 |
j-invariant |
L |
9.7099149582819 |
L(r)(E,1)/r! |
Ω |
0.25995731156829 |
Real period |
R |
1.1672487335647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450x1 24720o1 |
Quadratic twists by: -4 5 |