Atkin-Lehner |
2- 3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576bd |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3156328747008 = 212 · 34 · 194 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7312,222548] |
[a1,a2,a3,a4,a6] |
Generators |
[34:120:1] |
Generators of the group modulo torsion |
j |
10556785703953/770588073 |
j-invariant |
L |
8.3192333943623 |
L(r)(E,1)/r! |
Ω |
0.78156524256083 |
Real period |
R |
2.6610809119782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000703 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4161b3 |
Quadratic twists by: -4 |