Atkin-Lehner |
3+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8547b |
Isogeny class |
Conductor |
8547 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
2.7273014317398E+22 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11+ 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31298340,66912322743] |
[a1,a2,a3,a4,a6] |
j |
3390686569246875224955063625/27273014317398421790757 |
j-invariant |
L |
1.6683117605576 |
L(r)(E,1)/r! |
Ω |
0.11916512575411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25641l2 59829i2 94017d2 |
Quadratic twists by: -3 -7 -11 |