Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10824h |
Isogeny class |
Conductor |
10824 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
108441982420992 = 211 · 36 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13728,359136] |
[a1,a2,a3,a4,a6] |
Generators |
[15:396:1] |
Generators of the group modulo torsion |
j |
139716342013250/52950186729 |
j-invariant |
L |
5.3280250878331 |
L(r)(E,1)/r! |
Ω |
0.54223725841526 |
Real period |
R |
3.2753344316501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21648d2 86592m2 32472i2 119064k2 |
Quadratic twists by: -4 8 -3 -11 |