Atkin-Lehner |
2- 3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
53064m |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1365230592 = 210 · 33 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-771,8046] |
[a1,a2,a3,a4,a6] |
Generators |
[19:16:1] |
Generators of the group modulo torsion |
j |
1833256044/49379 |
j-invariant |
L |
5.1741127830179 |
L(r)(E,1)/r! |
Ω |
1.5168033904394 |
Real period |
R |
1.7055977114997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128d2 53064c2 |
Quadratic twists by: -4 -3 |