Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408k |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-21129024503808 = -1 · 226 · 34 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2111,-218687] |
[a1,a2,a3,a4,a6] |
Generators |
[67:468:1] |
Generators of the group modulo torsion |
j |
3966822287/80600832 |
j-invariant |
L |
2.1781281312188 |
L(r)(E,1)/r! |
Ω |
0.33094621547481 |
Real period |
R |
1.6453792409394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dk1 1794j1 |
Quadratic twists by: -4 8 |