Atkin-Lehner |
2+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040n |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
-5.961109115E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 2 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-265621,-375098155] |
[a1,a2,a3,a4,a6] |
Generators |
[5329:386672:1] |
Generators of the group modulo torsion |
j |
-2024009807797682176/58213956201171875 |
j-invariant |
L |
4.2975221605406 |
L(r)(E,1)/r! |
Ω |
0.085803438286768 |
Real period |
R |
3.5775474141858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040bp1 4940f1 |
Quadratic twists by: -4 8 |