Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642s |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1363968 |
Modular degree for the optimal curve |
Δ |
-4.3008205673577E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -2 6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,788287,-3143926447] |
[a1,a2,a3,a4,a6] |
Generators |
[8383:765564:1] |
Generators of the group modulo torsion |
j |
21156119/1679616 |
j-invariant |
L |
8.254078483917 |
L(r)(E,1)/r! |
Ω |
0.065804118770831 |
Real period |
R |
7.8396294165327 |
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 |
8214e1 24642e1 |
Quadratic twists by: -3 37 |