Atkin-Lehner |
2+ 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168s |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.5625114843441E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8540833,-8778268895] |
[a1,a2,a3,a4,a6] |
j |
262835807677978515625/25033994614960128 |
j-invariant |
L |
3.1987015887425 |
L(r)(E,1)/r! |
Ω |
0.088852821993567 |
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 |
63168dd4 1974c4 |
Quadratic twists by: -4 8 |