Atkin-Lehner |
3- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18189d |
Isogeny class |
Conductor |
18189 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
13259781 = 38 · 43 · 47 |
Discriminant |
Eigenvalues |
-1 3- 3 4 -6 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-581,5528] |
[a1,a2,a3,a4,a6] |
Generators |
[12:7:1] |
Generators of the group modulo torsion |
j |
29704593673/18189 |
j-invariant |
L |
4.3204424806469 |
L(r)(E,1)/r! |
Ω |
2.2143908064752 |
Real period |
R |
0.97553748597883 |
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 |
6063b1 |
Quadratic twists by: -3 |