Atkin-Lehner |
2- 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bx |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
36632112148316160 = 216 · 316 · 5 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144296,18933684] |
[a1,a2,a3,a4,a6] |
Generators |
[52:-3402:1] |
Generators of the group modulo torsion |
j |
81120319166611369/8943386754960 |
j-invariant |
L |
4.5807834529569 |
L(r)(E,1)/r! |
Ω |
0.35433719245524 |
Real period |
R |
0.40399225856758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130f1 |
Quadratic twists by: -4 |