Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bd |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.7082793775013E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1166115,523892842] |
[a1,a2,a3,a4,a6] |
Generators |
[-20094:845036:27] |
Generators of the group modulo torsion |
j |
-19465109000/1896129 |
j-invariant |
L |
4.5535624019528 |
L(r)(E,1)/r! |
Ω |
0.21396962752971 |
Real period |
R |
5.3203373500371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232d2 27744h2 4896p2 |
Quadratic twists by: -4 -3 17 |