Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696u |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1.9707247736498E+22 |
Discriminant |
Eigenvalues |
2- 2 0 1 0 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18826408,30713463408] |
[a1,a2,a3,a4,a6] |
Generators |
[-6027303894:171301896702:1295029] |
Generators of the group modulo torsion |
j |
1227015625/32768 |
j-invariant |
L |
8.8493359171897 |
L(r)(E,1)/r! |
Ω |
0.12143843236425 |
Real period |
R |
12.14516105653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962g2 55696t2 |
Quadratic twists by: -4 -59 |