Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888ba |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
25366441370688 = 26 · 311 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-970545,-368020096] |
[a1,a2,a3,a4,a6] |
j |
2167021596455416000/543690873 |
j-invariant |
L |
1.8252694392836 |
L(r)(E,1)/r! |
Ω |
0.15210575358348 |
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 |
129888o1 43296c1 |
Quadratic twists by: -4 -3 |