Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8200h |
Isogeny class |
Conductor |
8200 |
Conductor |
∏ cp |
16 |
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 |
[-38:558:1] [18:250:1] |
Generators of the group modulo torsion |
j |
4620876496/1025 |
j-invariant |
L |
4.0419170830942 |
L(r)(E,1)/r! |
Ω |
1.351338819503 |
Real period |
R |
0.74776159479039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16400c2 65600g2 73800w2 1640b2 |
Quadratic twists by: -4 8 -3 5 |