Atkin-Lehner |
2- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
47300i |
Isogeny class |
Conductor |
47300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3416316406250000 = 24 · 512 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54658,-4017063] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:933:1] |
Generators of the group modulo torsion |
j |
72235861729024/13665265625 |
j-invariant |
L |
9.9829291874848 |
L(r)(E,1)/r! |
Ω |
0.31633067071393 |
Real period |
R |
5.2597540652374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9460c2 |
Quadratic twists by: 5 |