Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fs |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.280096216E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-792075,144360250] |
[a1,a2,a3,a4,a6] |
j |
1177918188481/488703750 |
j-invariant |
L |
3.0994166595488 |
L(r)(E,1)/r! |
Ω |
0.19371354204277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550ba4 22800dk3 13680bh3 |
Quadratic twists by: -4 -3 5 |