Atkin-Lehner |
2- 3+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12036b |
Isogeny class |
Conductor |
12036 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1694160 |
Modular degree for the optimal curve |
Δ |
-2.3831080334815E+23 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 1 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106739669,-425073864159] |
[a1,a2,a3,a4,a6] |
Generators |
[7778340:2701543389:64] |
Generators of the group modulo torsion |
j |
-525365205024456184736776192/930901575578730300819 |
j-invariant |
L |
4.6981452508586 |
L(r)(E,1)/r! |
Ω |
0.023482372637784 |
Real period |
R |
7.6950441529508 |
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 |
48144t1 36108e1 |
Quadratic twists by: -4 -3 |