Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12060c |
Isogeny class |
Conductor |
12060 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
16200 |
Modular degree for the optimal curve |
Δ |
-2442150000 = -1 · 24 · 36 · 55 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10857,-435431] |
[a1,a2,a3,a4,a6] |
j |
-12134048168704/209375 |
j-invariant |
L |
3.5077845344461 |
L(r)(E,1)/r! |
Ω |
0.2338523022964 |
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 |
48240ce1 1340a1 60300n1 |
Quadratic twists by: -4 -3 5 |