Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
8946x |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-3834720792 = -1 · 23 · 39 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95,-2977] |
[a1,a2,a3,a4,a6] |
Generators |
[21:52:1] |
Generators of the group modulo torsion |
j |
-128787625/5260248 |
j-invariant |
L |
6.3471060972554 |
L(r)(E,1)/r! |
Ω |
0.61019133000846 |
Real period |
R |
0.57787940939473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71568bf1 2982e1 62622cj1 |
Quadratic twists by: -4 -3 -7 |