Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168bq |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
7397326848 = 214 · 3 · 19 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-968,-10512] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:10:1] |
Generators of the group modulo torsion |
j |
24515367625/1805988 |
j-invariant |
L |
3.909755543486 |
L(r)(E,1)/r! |
Ω |
0.8598234853469 |
Real period |
R |
2.2735803412478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146g1 |
Quadratic twists by: -4 |