Atkin-Lehner |
2- 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59202bb |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
251698960656 = 24 · 314 · 11 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1589,3773] |
[a1,a2,a3,a4,a6] |
Generators |
[87:676:1] |
Generators of the group modulo torsion |
j |
608291319817/345266064 |
j-invariant |
L |
9.6310183560305 |
L(r)(E,1)/r! |
Ω |
0.84703972649896 |
Real period |
R |
2.842552142081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19734i1 |
Quadratic twists by: -3 |