Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16400c |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4100000000 = 28 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5508,-155488] |
[a1,a2,a3,a4,a6] |
Generators |
[44862:596125:216] |
Generators of the group modulo torsion |
j |
4620876496/1025 |
j-invariant |
L |
7.4167587616097 |
L(r)(E,1)/r! |
Ω |
0.55417927763857 |
Real period |
R |
6.6916601367824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8200h2 65600bn2 3280d2 |
Quadratic twists by: -4 8 5 |