Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150p |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
270978048000000000 = 219 · 37 · 59 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11- 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-412700,98754000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2370:112935:8] |
Generators of the group modulo torsion |
j |
32893747448573/1146617856 |
j-invariant |
L |
3.4987132406506 |
L(r)(E,1)/r! |
Ω |
0.30756861710351 |
Real period |
R |
5.6876954378496 |
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 |
54450gs1 18150dh1 18150cf1 |
Quadratic twists by: -3 5 -11 |