Atkin-Lehner |
2- 3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616q |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-211657162752 = -1 · 222 · 34 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,22113] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:144:1] [71:616:1] |
Generators of the group modulo torsion |
j |
103823/807408 |
j-invariant |
L |
11.184511310105 |
L(r)(E,1)/r! |
Ω |
0.78739688677067 |
Real period |
R |
7.1022069694758 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999996578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616n1 29904e1 |
Quadratic twists by: -4 8 |