Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560f |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
461441953440000 = 28 · 310 · 54 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-149223,-22163078] |
[a1,a2,a3,a4,a6] |
Generators |
[12839:1454112:1] |
Generators of the group modulo torsion |
j |
1969080716416336/2472575625 |
j-invariant |
L |
5.0241716347584 |
L(r)(E,1)/r! |
Ω |
0.24292564226895 |
Real period |
R |
5.1704830178369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005898 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26520bf2 |
Quadratic twists by: -3 |