Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600w |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1336320 |
Modular degree for the optimal curve |
Δ |
-3675370373280000000 = -1 · 211 · 310 · 57 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88592,91707188] |
[a1,a2,a3,a4,a6] |
Generators |
[1598:-65700:1] |
Generators of the group modulo torsion |
j |
2402992139182/114855324165 |
j-invariant |
L |
5.6021316216429 |
L(r)(E,1)/r! |
Ω |
0.18910584541301 |
Real period |
R |
0.12343465653698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43800v1 17520a1 |
Quadratic twists by: -4 5 |