Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18326u |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
-72599696487472 = -1 · 24 · 74 · 113 · 175 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30822,-2125292] |
[a1,a2,a3,a4,a6] |
j |
-1348698520353793/30237274672 |
j-invariant |
L |
2.159033810868 |
L(r)(E,1)/r! |
Ω |
0.179919484239 |
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 |
18326ba1 |
Quadratic twists by: -7 |