Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10824f |
Isogeny class |
Conductor |
10824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
37407744 = 210 · 34 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9624,-366624] |
[a1,a2,a3,a4,a6] |
j |
96279920698468/36531 |
j-invariant |
L |
0.96402189150033 |
L(r)(E,1)/r! |
Ω |
0.48201094575016 |
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 |
21648f4 86592p4 32472v4 119064y4 |
Quadratic twists by: -4 8 -3 -11 |