Atkin-Lehner |
2+ 7+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120176b |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-753743872 = -1 · 211 · 73 · 29 · 37 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -5 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85,-1286] |
[a1,a2,a3,a4,a6] |
Generators |
[15:58:1] |
Generators of the group modulo torsion |
j |
33162750/368039 |
j-invariant |
L |
3.8521056767519 |
L(r)(E,1)/r! |
Ω |
0.78703394688077 |
Real period |
R |
2.4472296691027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60088i1 |
Quadratic twists by: -4 |