Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232d |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
32 |
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] |
j |
-19465109000/1896129 |
j-invariant |
L |
0.57793539001897 |
L(r)(E,1)/r! |
Ω |
0.072241927636492 |
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 |
83232bd2 27744o2 4896e2 |
Quadratic twists by: -4 -3 17 |