Atkin-Lehner |
3- 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52767g |
Isogeny class |
Conductor |
52767 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14902959351492927 = 326 · 11 · 13 · 41 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-292496,-60530308] |
[a1,a2,a3,a4,a6] |
j |
3796248084075707833/20443016943063 |
j-invariant |
L |
0.82142985243883 |
L(r)(E,1)/r! |
Ω |
0.20535746314613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17589e3 |
Quadratic twists by: -3 |