Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150cq |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
8138938762968750 = 2 · 35 · 57 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-90813,-9605133] |
[a1,a2,a3,a4,a6] |
j |
24729001/2430 |
j-invariant |
L |
5.5351466145742 |
L(r)(E,1)/r! |
Ω |
0.27675733072871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450br1 3630e1 18150z1 |
Quadratic twists by: -3 5 -11 |