Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560g |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5415534036900000000 = 28 · 38 · 58 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1275303,542904698] |
[a1,a2,a3,a4,a6] |
Generators |
[-1262:11934:1] |
Generators of the group modulo torsion |
j |
1229125878116884816/29018422265625 |
j-invariant |
L |
4.9607605389421 |
L(r)(E,1)/r! |
Ω |
0.24083589692173 |
Real period |
R |
2.5747618006211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960551 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26520s2 |
Quadratic twists by: -3 |