Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ex |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
234101145600000000 = 224 · 36 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-577633,-167172863] |
[a1,a2,a3,a4,a6] |
Generators |
[-306792:801125:729] |
Generators of the group modulo torsion |
j |
5203798902289/57153600 |
j-invariant |
L |
5.3295374811792 |
L(r)(E,1)/r! |
Ω |
0.17329047671001 |
Real period |
R |
7.6887339430918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33600cc2 8400ce2 100800mv2 6720cg2 |
Quadratic twists by: -4 8 -3 5 |