Atkin-Lehner |
2- 3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826bd |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1038150438596964 = 22 · 312 · 74 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-325481,-71373819] |
[a1,a2,a3,a4,a6] |
Generators |
[19475:2706822:1] |
Generators of the group modulo torsion |
j |
5230845079186579273/1424074675716 |
j-invariant |
L |
8.4807883847975 |
L(r)(E,1)/r! |
Ω |
0.19988276286703 |
Real period |
R |
5.3036016356874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18942g2 |
Quadratic twists by: -3 |