Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090bj |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2656173000 = -1 · 23 · 3 · 53 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 13- -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,340,600] |
[a1,a2,a3,a4,a6] |
Generators |
[30:180:1] |
Generators of the group modulo torsion |
j |
4345908989759/2656173000 |
j-invariant |
L |
8.6645062299594 |
L(r)(E,1)/r! |
Ω |
0.88675657564423 |
Real period |
R |
0.27141690878935 |
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 |
96720cm1 36270t1 60450a1 |
Quadratic twists by: -4 -3 5 |