Atkin-Lehner |
2- 3- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
18690n |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
81600 |
Modular degree for the optimal curve |
Δ |
-144884003906250 = -1 · 2 · 35 · 510 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7274,528206] |
[a1,a2,a3,a4,a6] |
j |
42563748729089951/144884003906250 |
j-invariant |
L |
4.1098944761565 |
L(r)(E,1)/r! |
Ω |
0.41098944761565 |
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 |
56070m1 93450g1 |
Quadratic twists by: -3 5 |