Atkin-Lehner |
2- 3+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
95976m |
Isogeny class |
Conductor |
95976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-419799024 = -1 · 24 · 39 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 3 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81,-945] |
[a1,a2,a3,a4,a6] |
Generators |
[66:135:8] |
Generators of the group modulo torsion |
j |
186624/1333 |
j-invariant |
L |
8.4462979888308 |
L(r)(E,1)/r! |
Ω |
0.83574891434161 |
Real period |
R |
2.5265656458527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95976a1 |
Quadratic twists by: -3 |