Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600bj |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1083000000000 = 29 · 3 · 59 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3208,49912] |
[a1,a2,a3,a4,a6] |
Generators |
[378:319:8] |
Generators of the group modulo torsion |
j |
3652264/1083 |
j-invariant |
L |
4.4062917900883 |
L(r)(E,1)/r! |
Ω |
0.80991012325436 |
Real period |
R |
5.440470076315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600w2 91200ew2 45600t2 |
Quadratic twists by: -4 8 5 |