Atkin-Lehner |
3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18675j |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-945421875 = -1 · 36 · 56 · 83 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 -3 6 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,220,722] |
[a1,a2,a3,a4,a6] |
j |
103823/83 |
j-invariant |
L |
2.0213506069387 |
L(r)(E,1)/r! |
Ω |
1.0106753034694 |
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 |
2075a1 747d1 |
Quadratic twists by: -3 5 |