Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475z |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-1763173985546875 = -1 · 58 · 11 · 177 |
Discriminant |
Eigenvalues |
1 2 5- 3 11- 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31956325,-69545098500] |
[a1,a2,a3,a4,a6] |
Generators |
[121860977925294048533374201464149708535482601918727411411150926528179077076476688755868311385329783205785464858894604186154158723293174667464:6094346991289831876182821013985657987884475435465686812084568407375650608622084558173798527900594120962877688062400686958645541866172584033906:15634086187477167663417123140864842658902932118592862974720751779031157588676673080898878317548514346878269390693570290944309053796804381] |
Generators of the group modulo torsion |
j |
-382772438090905/187 |
j-invariant |
L |
13.686583647373 |
L(r)(E,1)/r! |
Ω |
0.03174902186203 |
Real period |
R |
215.54339070429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79475m1 4675p1 |
Quadratic twists by: 5 17 |