Atkin-Lehner |
5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18425a |
Isogeny class |
Conductor |
18425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-202675 = -1 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
1 2 5+ 4 11+ -6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5,20] |
[a1,a2,a3,a4,a6] |
Generators |
[16:58:1] |
Generators of the group modulo torsion |
j |
-744385/8107 |
j-invariant |
L |
9.1383638747077 |
L(r)(E,1)/r! |
Ω |
2.7003918024439 |
Real period |
R |
1.6920440705007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18425h1 |
Quadratic twists by: 5 |