Atkin-Lehner |
3+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18189a |
Isogeny class |
Conductor |
18189 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11712 |
Modular degree for the optimal curve |
Δ |
1710511749 = 39 · 432 · 47 |
Discriminant |
Eigenvalues |
-2 3+ -3 -1 -3 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-459,-3220] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:21:1] [-9:13:1] |
Generators of the group modulo torsion |
j |
543338496/86903 |
j-invariant |
L |
3.0910823317018 |
L(r)(E,1)/r! |
Ω |
1.0425930064668 |
Real period |
R |
0.74120062011927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18189b1 |
Quadratic twists by: -3 |