Atkin-Lehner |
2+ 3+ 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450m |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
1131368634000 = 24 · 36 · 53 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21785,-1245675] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:75:1] |
Generators of the group modulo torsion |
j |
9147818531190221/9050949072 |
j-invariant |
L |
4.3719900922578 |
L(r)(E,1)/r! |
Ω |
0.39299168879448 |
Real period |
R |
2.7812229972331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87450ck1 |
Quadratic twists by: 5 |