Atkin-Lehner |
2+ 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8554b |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
697458944 = 28 · 73 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-266,980] |
[a1,a2,a3,a4,a6] |
j |
2093713241257/697458944 |
j-invariant |
L |
1.4827155380188 |
L(r)(E,1)/r! |
Ω |
1.4827155380188 |
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 |
68432ba1 76986be1 59878k1 111202bc1 |
Quadratic twists by: -4 -3 -7 13 |