Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
990b |
Isogeny class |
Conductor |
990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6380859375000 = -1 · 23 · 33 · 512 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10614,440748] |
[a1,a2,a3,a4,a6] |
j |
-4898016158612283/236328125000 |
j-invariant |
L |
0.99273637058795 |
L(r)(E,1)/r! |
Ω |
0.74455227794096 |
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 |
7920x2 31680c2 990h2 4950x2 |
Quadratic twists by: -4 8 -3 5 |