Atkin-Lehner |
2+ 3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168a |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-4569650608896 = -1 · 28 · 34 · 195 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 3 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,220,102768] |
[a1,a2,a3,a4,a6] |
Generators |
[8:324:1] |
Generators of the group modulo torsion |
j |
4579058864/17850197691 |
j-invariant |
L |
6.1420782868035 |
L(r)(E,1)/r! |
Ω |
0.60824975552645 |
Real period |
R |
2.5244885957909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584h1 |
Quadratic twists by: -4 |