Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cb |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-4763286000 = -1 · 24 · 39 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -6 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-568,5993] |
[a1,a2,a3,a4,a6] |
Generators |
[8:45:1] [-17:105:1] |
Generators of the group modulo torsion |
j |
-83891456/19683 |
j-invariant |
L |
11.878070513369 |
L(r)(E,1)/r! |
Ω |
1.3081709867126 |
Real period |
R |
0.2522196306931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600db1 72600em1 |
Quadratic twists by: 5 -11 |