Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856g |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6909940224 = 29 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1731,-27430] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:2:1] [106:990:1] |
Generators of the group modulo torsion |
j |
1536800264/18513 |
j-invariant |
L |
9.1277222186855 |
L(r)(E,1)/r! |
Ω |
0.74069875006672 |
Real period |
R |
6.1615617805927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856o2 107712ej2 17952o2 |
Quadratic twists by: -4 8 -3 |