Atkin-Lehner |
2- 3- 5- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bu |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
111932300250000 = 24 · 39 · 56 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113657,14767881] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:5304:1] |
Generators of the group modulo torsion |
j |
222731256580724809/153542250000 |
j-invariant |
L |
12.114157501639 |
L(r)(E,1)/r! |
Ω |
0.58712300512283 |
Real period |
R |
0.8597117783421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29670d1 |
Quadratic twists by: -3 |