Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018ba |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
3187456272 = 24 · 37 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51251,4478595] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:2472:1] |
Generators of the group modulo torsion |
j |
20421858870283753/4372368 |
j-invariant |
L |
6.2830261212339 |
L(r)(E,1)/r! |
Ω |
1.1243693985796 |
Real period |
R |
1.3970110999933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006d1 126126fg1 |
Quadratic twists by: -3 -7 |