Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408bh |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
210923421696 = 218 · 32 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1537,-7585] |
[a1,a2,a3,a4,a6] |
Generators |
[-7842:8855:216] |
Generators of the group modulo torsion |
j |
1532808577/804609 |
j-invariant |
L |
9.5740003481224 |
L(r)(E,1)/r! |
Ω |
0.80830992539488 |
Real period |
R |
5.9222335686769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57408by2 897c2 |
Quadratic twists by: -4 8 |