Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400cl |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
20667587788800 = 215 · 35 · 52 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1084288,434214068] |
[a1,a2,a3,a4,a6] |
Generators |
[602:48:1] |
Generators of the group modulo torsion |
j |
1376759589648412585/201831912 |
j-invariant |
L |
7.7732237800909 |
L(r)(E,1)/r! |
Ω |
0.53317965236738 |
Real period |
R |
0.72894977757885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050t2 56400cg2 |
Quadratic twists by: -4 5 |