Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bk |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
427223104229376 = 212 · 32 · 74 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132552,18592560] |
[a1,a2,a3,a4,a6] |
j |
13027640977/21609 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
3549c3 336e4 |
Quadratic twists by: -4 13 |