Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67626bm |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-63220965709824 = -1 · 211 · 37 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -5 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16961,-928047] |
[a1,a2,a3,a4,a6] |
Generators |
[167:852:1] |
Generators of the group modulo torsion |
j |
-8861981833/1038336 |
j-invariant |
L |
12.340635356804 |
L(r)(E,1)/r! |
Ω |
0.20780677257867 |
Real period |
R |
1.3496623901922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22542h1 67626bg1 |
Quadratic twists by: -3 17 |