Atkin-Lehner |
2+ 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109040a |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-733621120000 = -1 · 210 · 54 · 293 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 3 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-317816,68856484] |
[a1,a2,a3,a4,a6] |
Generators |
[-630:4408:1] [264:1850:1] |
Generators of the group modulo torsion |
j |
-3466988443963111396/716426875 |
j-invariant |
L |
8.5527204831591 |
L(r)(E,1)/r! |
Ω |
0.71364315189849 |
Real period |
R |
0.4993579107858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54520c1 |
Quadratic twists by: -4 |