Atkin-Lehner |
2+ 7+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
96922c |
Isogeny class |
Conductor |
96922 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
160788170368 = 27 · 74 · 233 · 43 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 3 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28446,1844112] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:1883:1] |
Generators of the group modulo torsion |
j |
1060164413541625/66967168 |
j-invariant |
L |
5.3304999439469 |
L(r)(E,1)/r! |
Ω |
0.9699187038757 |
Real period |
R |
5.4958213723839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003212 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96922m1 |
Quadratic twists by: -7 |