Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400bi |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-10707187500000000 = -1 · 28 · 36 · 513 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23867,-4779863] |
[a1,a2,a3,a4,a6] |
j |
375871176704/2676796875 |
j-invariant |
L |
1.6142915914953 |
L(r)(E,1)/r! |
Ω |
0.20178644883865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14100k1 11280bc1 |
Quadratic twists by: -4 5 |