Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bk |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-2.05641981272E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1029408,457736812] |
[a1,a2,a3,a4,a6] |
Generators |
[4506:60025:8] |
Generators of the group modulo torsion |
j |
-32044133522/5462275 |
j-invariant |
L |
3.4451784389978 |
L(r)(E,1)/r! |
Ω |
0.2077924830304 |
Real period |
R |
2.0724874655788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997295403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25480c1 18200s1 |
Quadratic twists by: 5 -7 |