Atkin-Lehner |
2+ 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040p |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
242331264000 = 210 · 36 · 53 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108136,-13722940] |
[a1,a2,a3,a4,a6] |
j |
136564768870199716/236651625 |
j-invariant |
L |
3.1592786714346 |
L(r)(E,1)/r! |
Ω |
0.2632732229016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44520n1 |
Quadratic twists by: -4 |