Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32800a |
Isogeny class |
Conductor |
32800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1025000000 = 26 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -2 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1325,-18500] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:8:1] |
Generators of the group modulo torsion |
j |
257259456/1025 |
j-invariant |
L |
3.2856106780678 |
L(r)(E,1)/r! |
Ω |
0.79149772268597 |
Real period |
R |
2.0755654652535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32800h1 65600d2 6560h1 |
Quadratic twists by: -4 8 5 |