Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912ct |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1683987710887948032 = 28 · 32 · 77 · 316 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1461588,-677735640] |
[a1,a2,a3,a4,a6] |
Generators |
[-21893223:-4527306:29791] |
Generators of the group modulo torsion |
j |
11464911586546000/55912731903 |
j-invariant |
L |
8.5352556272036 |
L(r)(E,1)/r! |
Ω |
0.13734750082111 |
Real period |
R |
10.357251469268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228a4 10416o4 |
Quadratic twists by: -4 -7 |