Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bt |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256000 |
Modular degree for the optimal curve |
Δ |
-16326994231296 = -1 · 216 · 35 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 2 -4 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4417,-223391] |
[a1,a2,a3,a4,a6] |
Generators |
[87:208:1] |
Generators of the group modulo torsion |
j |
-145453541188/249130161 |
j-invariant |
L |
2.3194782744236 |
L(r)(E,1)/r! |
Ω |
0.27669057930299 |
Real period |
R |
4.1914659339979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984bk1 20496e1 |
Quadratic twists by: -4 8 |