Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120g |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-4763286000 = -1 · 24 · 39 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,297,2673] |
[a1,a2,a3,a4,a6] |
j |
76032/125 |
j-invariant |
L |
1.8731612737758 |
L(r)(E,1)/r! |
Ω |
0.93658065327001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560bj1 87120o1 87120h1 |
Quadratic twists by: -4 -3 -11 |