Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282o |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
21566736 = 24 · 36 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 0 -1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153,733] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-1:1] |
Generators of the group modulo torsion |
j |
294937/16 |
j-invariant |
L |
5.4563406979423 |
L(r)(E,1)/r! |
Ω |
2.1194432894567 |
Real period |
R |
1.287210826797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3698b1 33282y1 |
Quadratic twists by: -3 -43 |