Atkin-Lehner |
2- 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054p |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
4636800 |
Modular degree for the optimal curve |
Δ |
-512287839791087616 = -1 · 223 · 36 · 175 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 -7 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-524642891,4625472646491] |
[a1,a2,a3,a4,a6] |
j |
-21907234671397038959171876713/702726803554304 |
j-invariant |
L |
3.5878275916889 |
L(r)(E,1)/r! |
Ω |
0.15599250398647 |
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 |
2006e1 |
Quadratic twists by: -3 |