Atkin-Lehner |
2- 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070v |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1320113048889600 = 28 · 312 · 52 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28058,472281] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:1287:1] |
Generators of the group modulo torsion |
j |
3350825450181721/1810854662400 |
j-invariant |
L |
8.9271350706044 |
L(r)(E,1)/r! |
Ω |
0.42120280520022 |
Real period |
R |
1.3246491595502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18690e2 |
Quadratic twists by: -3 |