Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
990b |
Isogeny class |
Conductor |
990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
171691691212800 = 218 · 39 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14109,140165] |
[a1,a2,a3,a4,a6] |
j |
15781142246787/8722841600 |
j-invariant |
L |
0.99273637058795 |
L(r)(E,1)/r! |
Ω |
0.49636818529398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7920x3 31680c3 990h3 4950x3 |
Quadratic twists by: -4 8 -3 5 |