Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432cn |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-14518445050626048 = -1 · 216 · 38 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79984,10433492] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-2646:1] [-46:3744:1] |
Generators of the group modulo torsion |
j |
-117433042273/30128112 |
j-invariant |
L |
11.777548055275 |
L(r)(E,1)/r! |
Ω |
0.37599852660403 |
Real period |
R |
0.9788559015342 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054bb1 13776j1 |
Quadratic twists by: -4 -7 |