Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bk |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2906279620608 = 212 · 3 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2119992,1188797232] |
[a1,a2,a3,a4,a6] |
j |
53297461115137/147 |
j-invariant |
L |
2.1200528117601 |
L(r)(E,1)/r! |
Ω |
0.53001320318372 |
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 |
3549c5 336e5 |
Quadratic twists by: -4 13 |