Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bg |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1954266808320 = 216 · 310 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3243,23002] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:288:1] |
Generators of the group modulo torsion |
j |
1263214441/654480 |
j-invariant |
L |
3.5152082666136 |
L(r)(E,1)/r! |
Ω |
0.73111146179187 |
Real period |
R |
1.2020083288302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9090p1 24240bm1 |
Quadratic twists by: -4 -3 |