Atkin-Lehner |
2- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
127088p |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1485120 |
Modular degree for the optimal curve |
Δ |
-2041493383294976 = -1 · 212 · 139 · 47 |
Discriminant |
Eigenvalues |
2- 1 -2 2 -5 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1277189,555138611] |
[a1,a2,a3,a4,a6] |
Generators |
[5038650:57537233:5832] |
Generators of the group modulo torsion |
j |
-5304438784/47 |
j-invariant |
L |
6.7157085565215 |
L(r)(E,1)/r! |
Ω |
0.41908725548595 |
Real period |
R |
8.0123032997717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000233001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7943e1 127088q1 |
Quadratic twists by: -4 13 |