Atkin-Lehner |
3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
128037m |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-283515335013253707 = -1 · 33 · 712 · 132 · 672 |
Discriminant |
Eigenvalues |
-1 3- 4 7- 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-297921,-67653972] |
[a1,a2,a3,a4,a6] |
Generators |
[248895:10507548:125] |
Generators of the group modulo torsion |
j |
-24856439214136321/2409840585243 |
j-invariant |
L |
7.5403169345963 |
L(r)(E,1)/r! |
Ω |
0.10161553442352 |
Real period |
R |
6.1836977522174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999884534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18291c2 |
Quadratic twists by: -7 |