Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fj |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-242424916651008 = -1 · 210 · 35 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9931,641733] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:343:1] |
Generators of the group modulo torsion |
j |
899022848/2012283 |
j-invariant |
L |
4.5605531994161 |
L(r)(E,1)/r! |
Ω |
0.38616875328899 |
Real period |
R |
2.9524354763175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997614177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304dj1 30576cz1 17472dc1 |
Quadratic twists by: -4 8 -7 |