Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19800bi |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-7047949218750000 = -1 · 24 · 38 · 514 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39450,-5040875] |
[a1,a2,a3,a4,a6] |
j |
-37256083456/38671875 |
j-invariant |
L |
1.3011121779778 |
L(r)(E,1)/r! |
Ω |
0.16263902224722 |
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 |
39600f1 6600i1 3960e1 |
Quadratic twists by: -4 -3 5 |