Atkin-Lehner |
3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
18675c |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
25526390625 = 39 · 56 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1392,-18109] |
[a1,a2,a3,a4,a6] |
j |
970299/83 |
j-invariant |
L |
1.571685646863 |
L(r)(E,1)/r! |
Ω |
0.78584282343148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18675b1 747a1 |
Quadratic twists by: -3 5 |