Atkin-Lehner |
2- 5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550bj |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1372192937500 = -1 · 22 · 56 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4038,112031] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:3695:8] |
Generators of the group modulo torsion |
j |
-466025146777/87820348 |
j-invariant |
L |
15.704136296741 |
L(r)(E,1)/r! |
Ω |
0.82113437952876 |
Real period |
R |
4.7812321233068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542c1 |
Quadratic twists by: 5 |