Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bd |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
6224662144800 = 25 · 312 · 52 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-162506,25200668] |
[a1,a2,a3,a4,a6] |
Generators |
[228:7:1] |
Generators of the group modulo torsion |
j |
1296633753003985/17006112 |
j-invariant |
L |
4.8191152712547 |
L(r)(E,1)/r! |
Ω |
0.68685739850318 |
Real period |
R |
0.58468168232065 |
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 |
54450fy1 18150cl1 18150cx1 |
Quadratic twists by: -3 5 -11 |