Atkin-Lehner |
3- 11- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
80883m |
Isogeny class |
Conductor |
80883 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-3360931299 = -1 · 39 · 11 · 192 · 43 |
Discriminant |
Eigenvalues |
1 3- -1 -1 11- -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1305,-18036] |
[a1,a2,a3,a4,a6] |
Generators |
[366:843:8] [60:312:1] |
Generators of the group modulo torsion |
j |
-337298881681/4610331 |
j-invariant |
L |
11.867039788094 |
L(r)(E,1)/r! |
Ω |
0.39682425393867 |
Real period |
R |
3.7381282993166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26961d1 |
Quadratic twists by: -3 |