Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400bx |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7600320720000000 = 210 · 36 · 57 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51075,-1464750] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:684:1] |
Generators of the group modulo torsion |
j |
1263284964/651605 |
j-invariant |
L |
5.7233521568767 |
L(r)(E,1)/r! |
Ω |
0.33582585865674 |
Real period |
R |
1.0651636870187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200ch3 7600c4 13680n3 |
Quadratic twists by: -4 -3 5 |