Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650bx |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
5591040 |
Modular degree for the optimal curve |
Δ |
-5.0353450338222E+21 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -5 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1872030,-3553096403] |
[a1,a2,a3,a4,a6] |
Generators |
[54723:815825:27] |
Generators of the group modulo torsion |
j |
-164384733177/1140850688 |
j-invariant |
L |
15.17825589242 |
L(r)(E,1)/r! |
Ω |
0.057293114452457 |
Real period |
R |
5.0946704360933 |
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 |
1666h1 41650bm1 |
Quadratic twists by: 5 -7 |