Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28400g |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-290816000000 = -1 · 218 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -6 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475,26250] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:150:1] [10:150:1] |
Generators of the group modulo torsion |
j |
-185193/4544 |
j-invariant |
L |
7.6682991803262 |
L(r)(E,1)/r! |
Ω |
0.81575307133457 |
Real period |
R |
2.350067517301 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3550l1 113600bu1 1136b1 |
Quadratic twists by: -4 8 5 |