Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400et |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.9509507230848E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1504875,-772235750] |
[a1,a2,a3,a4,a6] |
Generators |
[1367702:-81622134:343] |
Generators of the group modulo torsion |
j |
-8078253774625/846825858 |
j-invariant |
L |
5.8000732351966 |
L(r)(E,1)/r! |
Ω |
0.067752910173638 |
Real period |
R |
10.700782484619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550bf4 22800db4 2736n4 |
Quadratic twists by: -4 -3 5 |