Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232bj |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-9.6545452192338E+18 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,480031,-77049729] |
[a1,a2,a3,a4,a6] |
Generators |
[2803:-152640:1] |
Generators of the group modulo torsion |
j |
46664942971332167/36829167248664 |
j-invariant |
L |
5.9588986942998 |
L(r)(E,1)/r! |
Ω |
0.12784279259078 |
Real period |
R |
1.1652785764679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232cr3 2226b4 |
Quadratic twists by: -4 8 |