Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8118a |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3720978536918544 = -1 · 24 · 318 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14949,2845557] |
[a1,a2,a3,a4,a6] |
j |
506776266613583/5104222958736 |
j-invariant |
L |
1.3011594071353 |
L(r)(E,1)/r! |
Ω |
0.32528985178383 |
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 |
64944bn3 2706r4 89298cr3 |
Quadratic twists by: -4 -3 -11 |