Atkin-Lehner |
3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109989c |
Isogeny class |
Conductor |
109989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2530491333796E+20 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1022412,-669364965] |
[a1,a2,a3,a4,a6] |
Generators |
[36458507937800327146008914996971102:969563609350994195037929087420401793:22497207964198403565892779587368] |
Generators of the group modulo torsion |
j |
-2471052032539875/2619679884701 |
j-invariant |
L |
8.0480997264938 |
L(r)(E,1)/r! |
Ω |
0.072039030816529 |
Real period |
R |
55.859300697486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999475925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109989a2 9999a2 |
Quadratic twists by: -3 -11 |