Atkin-Lehner |
3+ 11- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18447d |
Isogeny class |
Conductor |
18447 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1984 |
Modular degree for the optimal curve |
Δ |
-55341 = -1 · 32 · 11 · 13 · 43 |
Discriminant |
Eigenvalues |
-1 3+ -3 1 11- 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22,32] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] [2:0:1] |
Generators of the group modulo torsion |
j |
-1180932193/55341 |
j-invariant |
L |
3.6754142686407 |
L(r)(E,1)/r! |
Ω |
3.4987994808424 |
Real period |
R |
0.52523934120347 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55341a1 |
Quadratic twists by: -3 |