Atkin-Lehner |
2+ 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8554c |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
1.457573785737E+21 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36657842,-85410952380] |
[a1,a2,a3,a4,a6] |
j |
5447840452252848306225570457/1457573785736969298944 |
j-invariant |
L |
0.24542838896203 |
L(r)(E,1)/r! |
Ω |
0.061357097240507 |
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 |
68432z1 76986bg1 59878j1 111202bd1 |
Quadratic twists by: -4 -3 -7 13 |