Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262x |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.2519100622482E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-342803,1704057105] |
[a1,a2,a3,a4,a6] |
Generators |
[-876:36939:1] |
Generators of the group modulo torsion |
j |
-30094741482625/8456801054832 |
j-invariant |
L |
9.6912485630515 |
L(r)(E,1)/r! |
Ω |
0.12473270542481 |
Real period |
R |
1.6186693862096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786t3 1794i3 |
Quadratic twists by: -3 -23 |