Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16400a |
Isogeny class |
Conductor |
16400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
689210000000000 = 210 · 510 · 413 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -4 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-572675,-166800750] |
[a1,a2,a3,a4,a6] |
Generators |
[10145:1018900:1] |
Generators of the group modulo torsion |
j |
1298160537477444/43075625 |
j-invariant |
L |
4.5940235509391 |
L(r)(E,1)/r! |
Ω |
0.17354949857002 |
Real period |
R |
6.617742472309 |
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 |
8200g1 65600bd1 3280a1 |
Quadratic twists by: -4 8 5 |