Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18800s |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
96256000000000 = 220 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -3 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2309008,-1351244012] |
[a1,a2,a3,a4,a6] |
j |
21272583599722441/1504000 |
j-invariant |
L |
0.48989518704659 |
L(r)(E,1)/r! |
Ω |
0.12247379676165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2350l1 75200ch1 3760p1 |
Quadratic twists by: -4 8 5 |