Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800ca |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
288120000000 = 29 · 3 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4408,108188] |
[a1,a2,a3,a4,a6] |
j |
1184287112/36015 |
j-invariant |
L |
1.9390445616181 |
L(r)(E,1)/r! |
Ω |
0.96952228080903 |
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 |
16800d2 33600z3 50400bp3 3360d3 |
Quadratic twists by: -4 8 -3 5 |