Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408h |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.2444264330628E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197397409,1067547101089] |
[a1,a2,a3,a4,a6] |
Generators |
[2931285:23429204:343] |
Generators of the group modulo torsion |
j |
12979803788407988032164772/342472295084049 |
j-invariant |
L |
3.2723607312711 |
L(r)(E,1)/r! |
Ω |
0.15614567568335 |
Real period |
R |
10.47855061333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999603 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57408di2 7176o2 |
Quadratic twists by: -4 8 |