Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350bn |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.9759893143552E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-840492,396254416] |
[a1,a2,a3,a4,a6] |
Generators |
[-421:26198:1] |
Generators of the group modulo torsion |
j |
-5764706497797625/2612665516032 |
j-invariant |
L |
5.4660770623538 |
L(r)(E,1)/r! |
Ω |
0.19565515676731 |
Real period |
R |
2.3281084402282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450bp3 2574x3 |
Quadratic twists by: -3 5 |