Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400bv |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3817152000000 = 212 · 33 · 56 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57208,5284912] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1022:1] |
Generators of the group modulo torsion |
j |
323535264625/59643 |
j-invariant |
L |
6.1061551190383 |
L(r)(E,1)/r! |
Ω |
0.76184738414882 |
Real period |
R |
4.0074660922776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3525j2 2256l2 |
Quadratic twists by: -4 5 |