Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672cx |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-5844061028089856 = -1 · 221 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -1 1 1 11- 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-259585,51125153] |
[a1,a2,a3,a4,a6] |
Generators |
[-491:7744:1] |
Generators of the group modulo torsion |
j |
-4165509529/12584 |
j-invariant |
L |
5.8418076879915 |
L(r)(E,1)/r! |
Ω |
0.42784912135781 |
Real period |
R |
1.7067370834027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672h1 25168bg1 9152u1 |
Quadratic twists by: -4 8 -11 |