Atkin-Lehner |
2- 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552cv |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-602489674752 = -1 · 210 · 3 · 73 · 833 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,247,-37233] |
[a1,a2,a3,a4,a6] |
Generators |
[2847737778:64618351163:5545233] |
Generators of the group modulo torsion |
j |
1620896000/588368823 |
j-invariant |
L |
7.1456291284544 |
L(r)(E,1)/r! |
Ω |
0.42958983503436 |
Real period |
R |
16.633608578078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999487401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552x2 27888t2 |
Quadratic twists by: -4 8 |