Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592bf |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7801377428223295488 = -1 · 236 · 38 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-537915,-202774678] |
[a1,a2,a3,a4,a6] |
j |
-5764706497797625/2612665516032 |
j-invariant |
L |
3.1052275887887 |
L(r)(E,1)/r! |
Ω |
0.086256321910798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2574x3 82368en3 6864q3 |
Quadratic twists by: -4 8 -3 |