Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ff |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-33882912000000000 = -1 · 214 · 32 · 59 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32367,8557137] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:2625:1] |
Generators of the group modulo torsion |
j |
14647977776/132355125 |
j-invariant |
L |
5.0748158590586 |
L(r)(E,1)/r! |
Ω |
0.26978808588961 |
Real period |
R |
0.78376574746385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600cp4 8400ck4 100800oh4 6720cj4 |
Quadratic twists by: -4 8 -3 5 |