Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200bb |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1511141400000000 = 29 · 33 · 58 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184408,-30484312] |
[a1,a2,a3,a4,a6] |
Generators |
[778:17250:1] |
Generators of the group modulo torsion |
j |
86691267621512/188892675 |
j-invariant |
L |
8.1548263423987 |
L(r)(E,1)/r! |
Ω |
0.23041527940463 |
Real period |
R |
1.4746610199307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200bl4 110400u4 11040i2 |
Quadratic twists by: -4 8 5 |