Atkin-Lehner |
3+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18189b |
Isogeny class |
Conductor |
18189 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3904 |
Modular degree for the optimal curve |
Δ |
2346381 = 33 · 432 · 47 |
Discriminant |
Eigenvalues |
2 3+ 3 -1 3 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-51,119] |
[a1,a2,a3,a4,a6] |
Generators |
[66:125:8] |
Generators of the group modulo torsion |
j |
543338496/86903 |
j-invariant |
L |
11.581538037167 |
L(r)(E,1)/r! |
Ω |
2.4737922888487 |
Real period |
R |
1.1704234516146 |
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 |
18189a1 |
Quadratic twists by: -3 |