Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050bl |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
105500880000 = 27 · 39 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1438,13892] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:194:1] |
Generators of the group modulo torsion |
j |
526185927025/168801408 |
j-invariant |
L |
7.4719650059599 |
L(r)(E,1)/r! |
Ω |
0.97842744707172 |
Real period |
R |
0.040405864020945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400cj1 30150bj1 10050a1 |
Quadratic twists by: -4 -3 5 |