Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504da |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
1491829396988755968 = 224 · 33 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2065752,1140587028] |
[a1,a2,a3,a4,a6] |
Generators |
[1932:66066:1] |
Generators of the group modulo torsion |
j |
134351465835313/205590528 |
j-invariant |
L |
11.126334462753 |
L(r)(E,1)/r! |
Ω |
0.26837147486623 |
Real period |
R |
1.7274461433867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438i1 6864y1 |
Quadratic twists by: -4 -11 |