Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600dk |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
4.4555025025875E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4115008,-98300512] |
[a1,a2,a3,a4,a6] |
Generators |
[-998:162603:8] |
Generators of the group modulo torsion |
j |
102129622/59049 |
j-invariant |
L |
8.426230035953 |
L(r)(E,1)/r! |
Ω |
0.1159777928881 |
Real period |
R |
7.265382298838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904b2 72600bf2 |
Quadratic twists by: 5 -11 |