Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18400a |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55968200000000 = 29 · 58 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11075,267750] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:806:1] |
Generators of the group modulo torsion |
j |
18778674312/6996025 |
j-invariant |
L |
4.975630090409 |
L(r)(E,1)/r! |
Ω |
0.57376060863137 |
Real period |
R |
4.3359809087257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18400e2 36800bw4 3680g3 |
Quadratic twists by: -4 8 5 |