Atkin-Lehner |
2+ 5- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450p |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
957600 |
Modular degree for the optimal curve |
Δ |
850192179200000000 = 219 · 58 · 75 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -1 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242492,12078416] |
[a1,a2,a3,a4,a6] |
Generators |
[687518:28276509:17576] |
Generators of the group modulo torsion |
j |
4036983099163065/2176491978752 |
j-invariant |
L |
3.1250519681298 |
L(r)(E,1)/r! |
Ω |
0.24583984872289 |
Real period |
R |
12.711738891858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450bk1 |
Quadratic twists by: 5 |