Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282z |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-12894128714898 = -1 · 2 · 320 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -5 -2 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42530,-3369661] |
[a1,a2,a3,a4,a6] |
Generators |
[6006:154457:8] [28692:511501:64] |
Generators of the group modulo torsion |
j |
-6311547390625/9565938 |
j-invariant |
L |
11.381618327593 |
L(r)(E,1)/r! |
Ω |
0.16620996394798 |
Real period |
R |
17.119338181126 |
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 |
11094h2 33282f2 |
Quadratic twists by: -3 -43 |