Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150ck |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
182372516725781250 = 2 · 32 · 58 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-190638,24502281] |
[a1,a2,a3,a4,a6] |
j |
75625/18 |
j-invariant |
L |
1.8046052382658 |
L(r)(E,1)/r! |
Ω |
0.30076753971096 |
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 |
54450do1 18150bc1 18150s1 |
Quadratic twists by: -3 5 -11 |