Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850o |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
1.8915865909876E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-666151,-2728552] |
[a1,a2,a3,a4,a6] |
Generators |
[-308:13316:1] |
Generators of the group modulo torsion |
j |
2092284807017797729/1210615418232090 |
j-invariant |
L |
7.1880565127185 |
L(r)(E,1)/r! |
Ω |
0.18325323532517 |
Real period |
R |
0.54478775229898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005798 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770t2 |
Quadratic twists by: 5 |