Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dr |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
99839803392 = 215 · 33 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54209,-4876065] |
[a1,a2,a3,a4,a6] |
Generators |
[649:15288:1] |
Generators of the group modulo torsion |
j |
537645451787144/3046869 |
j-invariant |
L |
6.1812433542377 |
L(r)(E,1)/r! |
Ω |
0.3128824371009 |
Real period |
R |
3.2926336012486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168by4 31584r4 |
Quadratic twists by: -4 8 |