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 |
Δ |
2580992000000 = 215 · 56 · 712 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -6 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16475,810250] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1232:1] [45:400:1] |
Generators of the group modulo torsion |
j |
7727161833/40328 |
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 |
3550l2 113600bu2 1136b2 |
Quadratic twists by: -4 8 5 |