Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350d |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-11511433276200 = -1 · 23 · 39 · 52 · 113 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1797,166301] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:421:1] |
Generators of the group modulo torsion |
j |
-1304585595/23393656 |
j-invariant |
L |
3.4161700861542 |
L(r)(E,1)/r! |
Ω |
0.60377238131296 |
Real period |
R |
2.8290214920294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350cz1 64350dd2 |
Quadratic twists by: -3 5 |