Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032h |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-442371627283248 = -1 · 24 · 311 · 132 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36750,-2894317] |
[a1,a2,a3,a4,a6] |
Generators |
[1711:70308:1] |
Generators of the group modulo torsion |
j |
-470596000000000/37926236907 |
j-invariant |
L |
3.3785622934133 |
L(r)(E,1)/r! |
Ω |
0.17161481736644 |
Real period |
R |
2.4608614406422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29016i1 19344c1 |
Quadratic twists by: -4 -3 |