Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472g |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.4940751417048E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1459457,-338176383] |
[a1,a2,a3,a4,a6] |
j |
5245875638258183428/2279777743079793 |
j-invariant |
L |
2.5724034530131 |
L(r)(E,1)/r! |
Ω |
0.14291130281055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472cm3 8184g4 |
Quadratic twists by: -4 8 |