Atkin-Lehner |
3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
9063d |
Isogeny class |
Conductor |
9063 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-7761230746989850899 = -1 · 38 · 19 · 538 |
Discriminant |
Eigenvalues |
2 3- -1 3 -5 2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2573283,-1594481085] |
[a1,a2,a3,a4,a6] |
Generators |
[2505860:495421231:64] |
Generators of the group modulo torsion |
j |
-2584989816536277323776/10646407060342731 |
j-invariant |
L |
8.3883265524295 |
L(r)(E,1)/r! |
Ω |
0.059585505790442 |
Real period |
R |
8.7986231311129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3021b1 |
Quadratic twists by: -3 |