Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40584x |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
81168 = 24 · 3 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3092,65157] |
[a1,a2,a3,a4,a6] |
Generators |
[858:1:27] |
Generators of the group modulo torsion |
j |
204391407854848/5073 |
j-invariant |
L |
8.612725800724 |
L(r)(E,1)/r! |
Ω |
2.4881844511014 |
Real period |
R |
1.7307249462382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168l1 121752m1 |
Quadratic twists by: -4 -3 |