Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ex |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4.2520434281472E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10321633,-8026548863] |
[a1,a2,a3,a4,a6] |
Generators |
[-2643:28000:1] |
Generators of the group modulo torsion |
j |
29689921233686449/10380965400750 |
j-invariant |
L |
5.3295374811792 |
L(r)(E,1)/r! |
Ω |
0.086645238355003 |
Real period |
R |
1.281455657182 |
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 |
33600cc8 8400ce7 100800mv8 6720cg7 |
Quadratic twists by: -4 8 -3 5 |