Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736ff |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-4205543473152 = -1 · 214 · 313 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -1 6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,240,98656] |
[a1,a2,a3,a4,a6] |
Generators |
[802:8505:8] |
Generators of the group modulo torsion |
j |
128000/352107 |
j-invariant |
L |
8.0024572686983 |
L(r)(E,1)/r! |
Ω |
0.61169124598909 |
Real period |
R |
3.2706276791753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999984672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736y1 23184n1 30912cf1 |
Quadratic twists by: -4 8 -3 |