Atkin-Lehner |
11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
8107a |
Isogeny class |
Conductor |
8107 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-7801017635270563 = -1 · 1110 · 673 |
Discriminant |
Eigenvalues |
2 2 -2 2 11- 2 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,49086,716341] |
[a1,a2,a3,a4,a6] |
Generators |
[1733158:46184207:2744] |
Generators of the group modulo torsion |
j |
7382979842048/4403471083 |
j-invariant |
L |
10.229228837371 |
L(r)(E,1)/r! |
Ω |
0.25429436553022 |
Real period |
R |
6.7043226433289 |
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 |
129712r1 72963w1 737a1 |
Quadratic twists by: -4 -3 -11 |