Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810bf |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3351942000 = -1 · 24 · 36 · 53 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,313,1711] |
[a1,a2,a3,a4,a6] |
Generators |
[1:44:1] |
Generators of the group modulo torsion |
j |
4665834711/4598000 |
j-invariant |
L |
8.4795034992683 |
L(r)(E,1)/r! |
Ω |
0.92906123337413 |
Real period |
R |
0.38028994549659 |
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 |
2090a1 94050x1 |
Quadratic twists by: -3 5 |