Atkin-Lehner |
2- 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400cx |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-55296000000000 = -1 · 220 · 33 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9300,-94000] |
[a1,a2,a3,a4,a6] |
j |
804357/500 |
j-invariant |
L |
2.9000772045098 |
L(r)(E,1)/r! |
Ω |
0.36250965056372 |
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 |
14400k1 3600ba1 14400cy3 2880v1 |
Quadratic twists by: -4 8 -3 5 |