Atkin-Lehner |
2+ 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5856a |
Isogeny class |
Conductor |
5856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45723648 = 212 · 3 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 4 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] |
Generators of the group modulo torsion |
j |
24897088/11163 |
j-invariant |
L |
3.7982624130001 |
L(r)(E,1)/r! |
Ω |
1.5849678915802 |
Real period |
R |
1.1982143086864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5856e2 11712bn1 17568i2 |
Quadratic twists by: -4 8 -3 |