Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31584w |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
472196971008 = 29 · 33 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2752,-45592] |
[a1,a2,a3,a4,a6] |
Generators |
[59:30:1] |
Generators of the group modulo torsion |
j |
4503569204744/922259709 |
j-invariant |
L |
7.5175266209985 |
L(r)(E,1)/r! |
Ω |
0.66861953872722 |
Real period |
R |
3.7477848938869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31584r3 63168by3 94752j3 |
Quadratic twists by: -4 8 -3 |