Atkin-Lehner |
2+ 5+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550j |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14637605000000 = 26 · 57 · 292 · 592 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41776,-3284802] |
[a1,a2,a3,a4,a6] |
Generators |
[241:691:1] |
Generators of the group modulo torsion |
j |
516023292569329/936806720 |
j-invariant |
L |
4.2215822569306 |
L(r)(E,1)/r! |
Ω |
0.33397691354674 |
Real period |
R |
3.160085382826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17110d2 |
Quadratic twists by: 5 |