Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800cy |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.4113671875E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185292408,-619970272812] |
[a1,a2,a3,a4,a6] |
Generators |
[941025131643997026003190264332:-482822039832141378232185449218750:3565003705582078256686119] |
Generators of the group modulo torsion |
j |
10993009831928446009969/3767761230468750000 |
j-invariant |
L |
6.8398404061821 |
L(r)(E,1)/r! |
Ω |
0.042060543935807 |
Real period |
R |
40.654731050442 |
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 |
2850d4 91200fz4 68400ej4 4560n4 |
Quadratic twists by: -4 8 -3 5 |