Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4018g |
Isogeny class |
Conductor |
4018 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-1.1653863478184E+21 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 4 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1552247,-1803905515] |
[a1,a2,a3,a4,a6] |
Generators |
[2370923103801687:-896107384265182940:16639966377] |
Generators of the group modulo torsion |
j |
-3515753329334380009/9905620513718272 |
j-invariant |
L |
2.9786529568209 |
L(r)(E,1)/r! |
Ω |
0.062681148655264 |
Real period |
R |
23.760357146636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32144bd1 128576bs1 36162cx1 100450ca1 |
Quadratic twists by: -4 8 -3 5 |