Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bn |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
247104 |
Modular degree for the optimal curve |
Δ |
-22493665477800 = -1 · 23 · 313 · 52 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11+ -1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4292,-199099] |
[a1,a2,a3,a4,a6] |
Generators |
[11731:1264803:1] |
Generators of the group modulo torsion |
j |
349749030362135/899746619112 |
j-invariant |
L |
9.337059179679 |
L(r)(E,1)/r! |
Ω |
0.34927186405187 |
Real period |
R |
8.9109756086922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450be1 |
Quadratic twists by: 5 |