Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fo |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
465174528000 = 220 · 3 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2945,53025] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:260:1] |
Generators of the group modulo torsion |
j |
10779215329/1774500 |
j-invariant |
L |
5.5426707080646 |
L(r)(E,1)/r! |
Ω |
0.89422197631835 |
Real period |
R |
1.0330527261461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cz1 21840bv1 |
Quadratic twists by: -4 8 |