Atkin-Lehner |
3- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89661i |
Isogeny class |
Conductor |
89661 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
4500354573 = 34 · 113 · 133 · 19 |
Discriminant |
Eigenvalues |
0 3- 2 3 11+ 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1547,22688] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:214:1] |
Generators of the group modulo torsion |
j |
307820331008/3381183 |
j-invariant |
L |
9.029099116113 |
L(r)(E,1)/r! |
Ω |
1.3833390871065 |
Real period |
R |
0.27195968552164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89661h1 |
Quadratic twists by: -11 |