Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144t |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
6776640 |
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 |
[6075:29478:1] |
Generators of the group modulo torsion |
j |
-525365205024456184736776192/930901575578730300819 |
j-invariant |
L |
10.213906095793 |
L(r)(E,1)/r! |
Ω |
0.099000284126336 |
Real period |
R |
0.6613491830059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12036b1 |
Quadratic twists by: -4 |