Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248bf |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2.4261709371909E+19 |
Discriminant |
Eigenvalues |
2- 2 -3 4 11- -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,552688,176309696] |
[a1,a2,a3,a4,a6] |
Generators |
[1522:67386:1] |
Generators of the group modulo torsion |
j |
311338152171167/404567235136 |
j-invariant |
L |
9.163602399963 |
L(r)(E,1)/r! |
Ω |
0.14319937299591 |
Real period |
R |
5.3326597554823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10406k2 83248bq2 |
Quadratic twists by: -4 -11 |