Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67626z |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1850688 |
Modular degree for the optimal curve |
Δ |
-228473579295441792 = -1 · 27 · 39 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 4 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,94882,-20081811] |
[a1,a2,a3,a4,a6] |
j |
18576359/44928 |
j-invariant |
L |
6.8181732479597 |
L(r)(E,1)/r! |
Ω |
0.16233745827481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22542c1 67626x1 |
Quadratic twists by: -3 17 |