Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208bw |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.0122102492359E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33295712,-60103232832] |
[a1,a2,a3,a4,a6] |
j |
8471112631466271697/1662662681263647 |
j-invariant |
L |
1.0193562399179 |
L(r)(E,1)/r! |
Ω |
0.063709764874308 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4263g5 9744q5 |
Quadratic twists by: -4 -7 |