Atkin-Lehner |
2+ 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168v |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2840230656 = -1 · 28 · 38 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 3 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92,2556] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:36:1] [-5:54:1] |
Generators of the group modulo torsion |
j |
-340062928/11094651 |
j-invariant |
L |
10.644727698025 |
L(r)(E,1)/r! |
Ω |
1.1941278949965 |
Real period |
R |
0.55713921759343 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584t1 |
Quadratic twists by: -4 |