Atkin-Lehner |
5+ 11+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24035b |
Isogeny class |
Conductor |
24035 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.8826571706041E+19 |
Discriminant |
Eigenvalues |
1 2 5+ 0 11+ -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7716738,-8243002183] |
[a1,a2,a3,a4,a6] |
Generators |
[-1433310658480843441118661808704888:-1282690140587316271915817822536121:914118208028737741609575789249] |
Generators of the group modulo torsion |
j |
50818877245885952859127849/78826571706041250575 |
j-invariant |
L |
7.9930492075095 |
L(r)(E,1)/r! |
Ω |
0.090590272711575 |
Real period |
R |
44.116487169423 |
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 |
120175e2 |
Quadratic twists by: 5 |