Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150k |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
3555956605132800 = 213 · 34 · 52 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-240550,-45420140] |
[a1,a2,a3,a4,a6] |
j |
287250720625/663552 |
j-invariant |
L |
1.2936283105126 |
L(r)(E,1)/r! |
Ω |
0.21560471841876 |
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 |
54450fv1 18150dk1 18150cb1 |
Quadratic twists by: -3 5 -11 |