Atkin-Lehner |
2- 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54180h |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
2777148281250000 = 24 · 310 · 510 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63768,-5655683] |
[a1,a2,a3,a4,a6] |
j |
2458581387575296/238095703125 |
j-invariant |
L |
2.4184274291244 |
L(r)(E,1)/r! |
Ω |
0.30230342869867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060m1 |
Quadratic twists by: -3 |