Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bx |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
247066875000 = 23 · 33 · 57 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3088,60281] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:277:1] |
Generators of the group modulo torsion |
j |
14235529/1080 |
j-invariant |
L |
6.8920788568447 |
L(r)(E,1)/r! |
Ω |
0.96551564026297 |
Real period |
R |
0.39656868709079 |
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 |
54450bq1 3630i1 18150f1 |
Quadratic twists by: -3 5 -11 |