Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720bu |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-3128160000 = -1 · 28 · 3 · 54 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100,-2752] |
[a1,a2,a3,a4,a6] |
j |
-1272112/35625 |
j-invariant |
L |
4.9322877204363 |
L(r)(E,1)/r! |
Ω |
0.61653596855138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111720ba1 |
Quadratic twists by: -7 |