Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
990b |
Isogeny class |
Conductor |
990 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
297000000 = 26 · 33 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10734,430740] |
[a1,a2,a3,a4,a6] |
j |
5066026756449723/11000000 |
j-invariant |
L |
0.99273637058795 |
L(r)(E,1)/r! |
Ω |
1.4891045558819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7920x1 31680c1 990h1 4950x1 |
Quadratic twists by: -4 8 -3 5 |