Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16400d |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
410000000000 = 210 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 -6 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2008,16512] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:150:1] |
Generators of the group modulo torsion |
j |
55990084/25625 |
j-invariant |
L |
7.7310188210222 |
L(r)(E,1)/r! |
Ω |
0.84746905273072 |
Real period |
R |
2.2806198043785 |
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 |
8200i1 65600bp1 3280e1 |
Quadratic twists by: -4 8 5 |