Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672s |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
162273186639872 = 212 · 76 · 114 · 23 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 11+ 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1795505,925437919] |
[a1,a2,a3,a4,a6] |
Generators |
[823:2420:1] |
Generators of the group modulo torsion |
j |
156287362684109836096/39617477207 |
j-invariant |
L |
2.8218010010048 |
L(r)(E,1)/r! |
Ω |
0.4586491774335 |
Real period |
R |
1.5381042525995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672bd2 113344do1 |
Quadratic twists by: -4 8 |