Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168ct |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3040149504 = 216 · 3 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1729,28129] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:235:1] [39:136:1] |
Generators of the group modulo torsion |
j |
8727300292/46389 |
j-invariant |
L |
8.2713149779981 |
L(r)(E,1)/r! |
Ω |
1.431005026155 |
Real period |
R |
5.7800740226866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168y2 15792m2 |
Quadratic twists by: -4 8 |