Atkin-Lehner |
2- 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570y |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-3108954689288115200 = -1 · 210 · 52 · 138 · 533 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -6 13+ -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,259383,67841609] |
[a1,a2,a3,a4,a6] |
Generators |
[127:10076:1] |
Generators of the group modulo torsion |
j |
2365935987519/3811251200 |
j-invariant |
L |
9.3730793206819 |
L(r)(E,1)/r! |
Ω |
0.17236384369758 |
Real period |
R |
0.90632690314731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89570a1 |
Quadratic twists by: 13 |