Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810bd |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-695058693120000000 = -1 · 216 · 310 · 57 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,202288,-19610701] |
[a1,a2,a3,a4,a6] |
Generators |
[957:-32879:1] |
Generators of the group modulo torsion |
j |
1255765531597770311/953441280000000 |
j-invariant |
L |
8.0122970811995 |
L(r)(E,1)/r! |
Ω |
0.15989085597171 |
Real period |
R |
0.22371000005492 |
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 |
6270k1 94050t1 |
Quadratic twists by: -3 5 |