Atkin-Lehner |
2- 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188g |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-851468209934832 = -1 · 24 · 39 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -1 5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46305,4084101] |
[a1,a2,a3,a4,a6] |
j |
-864000/67 |
j-invariant |
L |
1.9636606435885 |
L(r)(E,1)/r! |
Ω |
0.49091537402167 |
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 |
118188e1 118188h1 |
Quadratic twists by: -3 -7 |