Atkin-Lehner |
2- 3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090bi |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1740960000 = 28 · 33 · 54 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-360,-1728] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
5160676199041/1740960000 |
j-invariant |
L |
7.8671801498856 |
L(r)(E,1)/r! |
Ω |
1.1258867075132 |
Real period |
R |
0.29114756460349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720by1 36270q1 60450q1 |
Quadratic twists by: -4 -3 5 |