Atkin-Lehner |
2- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100f |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-353843750000 = -1 · 24 · 59 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,842,27313] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:125:1] |
Generators of the group modulo torsion |
j |
263757056/1415375 |
j-invariant |
L |
9.3697642626336 |
L(r)(E,1)/r! |
Ω |
0.69030923562719 |
Real period |
R |
0.56555355757577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420c1 |
Quadratic twists by: 5 |