Atkin-Lehner |
7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
55811m |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
59628451655218733 = 79 · 173 · 673 |
Discriminant |
Eigenvalues |
0 2 0 7- -3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-167743,-23634178] |
[a1,a2,a3,a4,a6] |
Generators |
[-2214:9845:8] [468:382:1] |
Generators of the group modulo torsion |
j |
4436814573568000/506833476317 |
j-invariant |
L |
10.996216080421 |
L(r)(E,1)/r! |
Ω |
0.23766052864693 |
Real period |
R |
2.5704768765555 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973g2 |
Quadratic twists by: -7 |