Atkin-Lehner |
2- 3+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986u |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-506452093056 = -1 · 27 · 39 · 7 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 1 13+ -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-569,34777] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:799:8] [-29:176:1] |
Generators of the group modulo torsion |
j |
-1033364331/25730432 |
j-invariant |
L |
13.785622118561 |
L(r)(E,1)/r! |
Ω |
0.77870528980123 |
Real period |
R |
0.63225928157978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76986c1 |
Quadratic twists by: -3 |