Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282z |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-1552804992 = -1 · 27 · 38 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -5 -2 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40,1883] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-59:1] [-9:31:1] |
Generators of the group modulo torsion |
j |
5375/1152 |
j-invariant |
L |
11.381618327593 |
L(r)(E,1)/r! |
Ω |
1.1634697476359 |
Real period |
R |
0.3493742485944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094h1 33282f1 |
Quadratic twists by: -3 -43 |