Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672dj |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
184018751488 = 212 · 112 · 135 |
Discriminant |
Eigenvalues |
2- -3 4 2 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60148,-5677760] |
[a1,a2,a3,a4,a6] |
Generators |
[-4215845:175445:29791] |
Generators of the group modulo torsion |
j |
48555895379904/371293 |
j-invariant |
L |
5.8736650476487 |
L(r)(E,1)/r! |
Ω |
0.30485579586789 |
Real period |
R |
9.6335137876048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dg1 50336bb1 100672ej1 |
Quadratic twists by: -4 8 -11 |