Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ef |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.7750328996659E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,728925,-2946374750] |
[a1,a2,a3,a4,a6] |
Generators |
[3032973111:-109155504128:1685159] |
Generators of the group modulo torsion |
j |
918046641959/80912056320 |
j-invariant |
L |
6.9126363223608 |
L(r)(E,1)/r! |
Ω |
0.066439871527586 |
Real period |
R |
13.005436650267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550l3 22800cu3 13680bc3 |
Quadratic twists by: -4 -3 5 |