Atkin-Lehner |
2- 3- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84912bc |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
79360 |
Modular degree for the optimal curve |
Δ |
-1760735232 = -1 · 212 · 35 · 29 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -2 1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12528,535572] |
[a1,a2,a3,a4,a6] |
Generators |
[66:24:1] |
Generators of the group modulo torsion |
j |
-53093782176625/429867 |
j-invariant |
L |
7.5766531451063 |
L(r)(E,1)/r! |
Ω |
1.3381421951289 |
Real period |
R |
0.28310343896141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5307a1 |
Quadratic twists by: -4 |