Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282a |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
302720 |
Modular degree for the optimal curve |
Δ |
54280002089179044 = 22 · 33 · 439 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 0 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-163983,23011065] |
[a1,a2,a3,a4,a6] |
Generators |
[552:9747:1] |
Generators of the group modulo torsion |
j |
35937/4 |
j-invariant |
L |
3.7623032363098 |
L(r)(E,1)/r! |
Ω |
0.34281433079864 |
Real period |
R |
5.4873774202275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33282q1 33282r1 |
Quadratic twists by: -3 -43 |