Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600da |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4.9787136E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12080033,-15803759937] |
[a1,a2,a3,a4,a6] |
Generators |
[-1763:4092:1] |
Generators of the group modulo torsion |
j |
47595748626367201/1215506250000 |
j-invariant |
L |
7.6694353179848 |
L(r)(E,1)/r! |
Ω |
0.081107125960352 |
Real period |
R |
5.9099579931899 |
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 |
33600eq3 1050c3 100800fr3 6720c3 |
Quadratic twists by: -4 8 -3 5 |