Atkin-Lehner |
3- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
89889f |
Isogeny class |
Conductor |
89889 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25632 |
Modular degree for the optimal curve |
Δ |
-7460787 = -1 · 3 · 192 · 832 |
Discriminant |
Eigenvalues |
1 3- 2 -1 4 -7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-160,773] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] |
Generators of the group modulo torsion |
j |
-1243565713/20667 |
j-invariant |
L |
10.461245938765 |
L(r)(E,1)/r! |
Ω |
2.3531935109723 |
Real period |
R |
2.2227763833389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89889b1 |
Quadratic twists by: -19 |