Atkin-Lehner |
3+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
79059g |
Isogeny class |
Conductor |
79059 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
11158200917937 = 32 · 198 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7408,182384] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:580:1] |
Generators of the group modulo torsion |
j |
955671625/237177 |
j-invariant |
L |
2.6282402005868 |
L(r)(E,1)/r! |
Ω |
0.67361024975153 |
Real period |
R |
1.9508612011179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952653 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161f1 |
Quadratic twists by: -19 |