Atkin-Lehner |
3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96237n |
Isogeny class |
Conductor |
96237 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-3198670792753581 = -1 · 36 · 179 · 37 |
Discriminant |
Eigenvalues |
-1 3- 1 1 -5 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28123,2020042] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-2659:1] |
Generators of the group modulo torsion |
j |
139798359/181781 |
j-invariant |
L |
4.0326148313692 |
L(r)(E,1)/r! |
Ω |
0.30150244249571 |
Real period |
R |
1.6718831486363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10693e1 5661i1 |
Quadratic twists by: -3 17 |