Atkin-Lehner |
2- 7- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
29036f |
Isogeny class |
Conductor |
29036 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54000 |
Modular degree for the optimal curve |
Δ |
7605163010816 = 28 · 73 · 175 · 61 |
Discriminant |
Eigenvalues |
2- -2 -1 7- 2 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12076,-497292] |
[a1,a2,a3,a4,a6] |
j |
760832442191824/29707668011 |
j-invariant |
L |
1.36955859084 |
L(r)(E,1)/r! |
Ω |
0.45651953028014 |
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 |
116144h1 |
Quadratic twists by: -4 |